-2x^2+16x-24=-24

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Solution for -2x^2+16x-24=-24 equation: 


Simplifying
-2x2 + 16x + -24 = -24

Reorder the terms:
-24 + 16x + -2x2 = -24

Add '24' to each side of the equation.
-24 + 16x + 24 + -2x2 = -24 + 24

Reorder the terms:
-24 + 24 + 16x + -2x2 = -24 + 24

Combine like terms: -24 + 24 = 0
0 + 16x + -2x2 = -24 + 24
16x + -2x2 = -24 + 24

Combine like terms: -24 + 24 = 0
16x + -2x2 = 0

Solving
16x + -2x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {0, 8}

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