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

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


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

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

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

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

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

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

Solving
4x + 40x2 = x

Solving for variable 'x'.

Reorder the terms:
4x + -1x + 40x2 = x + -1x

Combine like terms: 4x + -1x = 3x
3x + 40x2 = x + -1x

Combine like terms: x + -1x = 0
3x + 40x2 = 0

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