Enter Equation or Inequality
  

Solve the following equation

0.05(3q-2)+0.25q=8.30

Solve for q

0.05(3q - 2) + 0.25q = 8.30

Simplify by removing parentheses
Simplify 0.05(3q - 2):
Distribute the 0.05 to each term in (3q-2)
0.05 * 3q = (0.05 * 3)q = 0.15q
0.05 * -2 = (0.05 * -2) = -0.1
Our Total expanded term is 0.15q-0.1

Our new term is
0.15q - 0.1 + 0.25q = 8.30

Simplify by removing parentheses
Our new term is
0.15q - 0.1 + 0.25q = 8.30

Group the q terms on the left:

(0.15 + 0.25)q = 0.4q

Form modified equation

0.4q - 0.1 = + 8.3

Group constants

Group our constants -0.1 and 8.30.
add 0.1 to both sides

0.4q - 0.1 + 0.1 = 8.30 + 0.1

Cancel 0.1 on the left side:

0.4q = 8.4

Divide each side of the equation by 0.4

0.4q
0.4
=
  
8.4
0.4

q = 21

Final Answer

q = 21


You have 2 free calculationss remaining



What is the Answer?
q = 21
How does the Equation and Inequalities Calculator work?
Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
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What 3 formulas are used for the Equation and Inequalities Calculator?

One Step Equations (Division): cx = b x = b/c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Equation and Inequalities Calculator?

equation
a statement declaring two mathematical expressions are equal
equation and inequalities
unknown
a number or value we do not know
variable
Alphabetic character representing a number
Example calculations for the Equation and Inequalities Calculator
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  4. 2x - 9(x - 4) = 10
  5. |x|=-2
  6. |-4y|=-8
  7. x^2=25
  8. 2y^2=50
  9. 2y^2-3=53
  10. 2sqrt(4x)=20
  11. |2x+4|=30
  12. |x/2|<10
  13. |2x+6|-7=40
  14. (4x+10)^2=400

Equation and Inequalities Calculator Video


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