0=-2x^2+8x-8

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Solution for 0=-2x^2+8x-8 equation:


Simplifying
0 = -2x2 + 8x + -8

Reorder the terms:
0 = -8 + 8x + -2x2

Solving
0 = -8 + 8x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 8 = 8
8 + -8x + 2x2 = -8 + 8x + -2x2 + 8 + -8x + 2x2

Reorder the terms:
8 + -8x + 2x2 = -8 + 8 + 8x + -8x + -2x2 + 2x2

Combine like terms: -8 + 8 = 0
8 + -8x + 2x2 = 0 + 8x + -8x + -2x2 + 2x2
8 + -8x + 2x2 = 8x + -8x + -2x2 + 2x2

Combine like terms: 8x + -8x = 0
8 + -8x + 2x2 = 0 + -2x2 + 2x2
8 + -8x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
8 + -8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -4x + x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {2, 2}

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