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Simplifying 2x2 + -4x + 4 = 100 Reorder the terms: 4 + -4x + 2x2 = 100 Solving 4 + -4x + 2x2 = 100 Solving for variable 'x'. Reorder the terms: 4 + -100 + -4x + 2x2 = 100 + -100 Combine like terms: 4 + -100 = -96 -96 + -4x + 2x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -96 + -4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + -2x + x2) = 0 Factor a trinomial. 2((-6 + -1x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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 = 8Solution
x = {-6, 8}
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