12x-3x^2-5x(x+1)=

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Solution for 12x-3x^2-5x(x+1)= equation: 


Simplifying
12x + -3x2 + -5x(x + 1) = 0

Reorder the terms:
12x + -3x2 + -5x(1 + x) = 0
12x + -3x2 + (1 * -5x + x * -5x) = 0
12x + -3x2 + (-5x + -5x2) = 0

Reorder the terms:
12x + -5x + -3x2 + -5x2 = 0

Combine like terms: 12x + -5x = 7x
7x + -3x2 + -5x2 = 0

Combine like terms: -3x2 + -5x2 = -8x2
7x + -8x2 = 0

Solving
7x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -8x) = 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 '(7 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + -8x = 0

Solving
7 + -8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875
Solution
x = {0, 0.875}

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