3x(x+15)=8x

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Solution for 3x(x+15)=8x equation: 


Simplifying
3x(x + 15) = 8x

Reorder the terms:
3x(15 + x) = 8x
(15 * 3x + x * 3x) = 8x
(45x + 3x2) = 8x

Solving
45x + 3x2 = 8x

Solving for variable 'x'.

Reorder the terms:
45x + -8x + 3x2 = 8x + -8x

Combine like terms: 45x + -8x = 37x
37x + 3x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
37x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(37 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(37 + 3x)' equal to zero and attempt to solve:

Simplifying
37 + 3x = 0

Solving
37 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-37' to each side of the equation.
37 + -37 + 3x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 3x = 0 + -37
3x = 0 + -37

Combine like terms: 0 + -37 = -37
3x = -37

Divide each side by '3'.
x = -12.33333333

Simplifying
x = -12.33333333
Solution
x = {0, -12.33333333}

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