-2x=-2x^2+24

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Solution for -2x=-2x^2+24 equation:


Simplifying
-2x = -2x2 + 24

Reorder the terms:
-2x = 24 + -2x2

Solving
-2x = 24 + -2x2

Solving for variable 'x'.

Reorder the terms:
-24 + -2x + 2x2 = 24 + -2x2 + -24 + 2x2

Reorder the terms:
-24 + -2x + 2x2 = 24 + -24 + -2x2 + 2x2

Combine like terms: 24 + -24 = 0
-24 + -2x + 2x2 = 0 + -2x2 + 2x2
-24 + -2x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-24 + -2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -1x + x2) = 0

Factor a trinomial.
2((-3 + -1x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

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 = {-3, 4}

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