-2x^2+4x=-16

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


Simplifying
-2x2 + 4x = -16

Reorder the terms:
4x + -2x2 = -16

Solving
4x + -2x2 = -16

Solving for variable 'x'.

Reorder the terms:
16 + 4x + -2x2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 2x + -1x2) = 0

Factor a trinomial.
2((4 + -1x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {4, -2}

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