x=(16x+112x^2)-(72x^2+12x)

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Solution for x=(16x+112x^2)-(72x^2+12x) equation: 


Simplifying
x = (16x + 112x2) + -1(72x2 + 12x)

Remove parenthesis around (16x + 112x2)
x = 16x + 112x2 + -1(72x2 + 12x)

Reorder the terms:
x = 16x + 112x2 + -1(12x + 72x2)
x = 16x + 112x2 + (12x * -1 + 72x2 * -1)
x = 16x + 112x2 + (-12x + -72x2)

Reorder the terms:
x = 16x + -12x + 112x2 + -72x2

Combine like terms: 16x + -12x = 4x
x = 4x + 112x2 + -72x2

Combine like terms: 112x2 + -72x2 = 40x2
x = 4x + 40x2

Solving
x = 4x + 40x2

Solving for variable 'x'.

Combine like terms: x + -4x = -3x
-3x + -40x2 = 4x + 40x2 + -4x + -40x2

Reorder the terms:
-3x + -40x2 = 4x + -4x + 40x2 + -40x2

Combine like terms: 4x + -4x = 0
-3x + -40x2 = 0 + 40x2 + -40x2
-3x + -40x2 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
-3x + -40x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + 40x) = 0

Ignore the factor -1.

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 '(3 + 40x)' equal to zero and attempt to solve:

Simplifying
3 + 40x = 0

Solving
3 + 40x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 40x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 40x = 0 + -3
40x = 0 + -3

Combine like terms: 0 + -3 = -3
40x = -3

Divide each side by '40'.
x = -0.075

Simplifying
x = -0.075
Solution
x = {0, -0.075}

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