-12x=-4x^2+16

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Solution for -12x=-4x^2+16 equation:


Simplifying
-12x = -4x2 + 16

Reorder the terms:
-12x = 16 + -4x2

Solving
-12x = 16 + -4x2

Solving for variable 'x'.

Reorder the terms:
-16 + -12x + 4x2 = 16 + -4x2 + -16 + 4x2

Reorder the terms:
-16 + -12x + 4x2 = 16 + -16 + -4x2 + 4x2

Combine like terms: 16 + -16 = 0
-16 + -12x + 4x2 = 0 + -4x2 + 4x2
-16 + -12x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-16 + -12x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + -3x + x2) = 0

Factor a trinomial.
4((-1 + -1x)(4 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-1, 4}

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