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Simplifying 100 = 2x2 + 4x + 4 Reorder the terms: 100 = 4 + 4x + 2x2 Solving 100 = 4 + 4x + 2x2 Solving for variable 'x'. Combine like terms: 100 + -4 = 96 96 + -4x + -2x2 = 4 + 4x + 2x2 + -4 + -4x + -2x2 Reorder the terms: 96 + -4x + -2x2 = 4 + -4 + 4x + -4x + 2x2 + -2x2 Combine like terms: 4 + -4 = 0 96 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2 96 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 96 + -4x + -2x2 = 0 + 2x2 + -2x2 96 + -4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 96 + -4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(48 + -2x + -1x2) = 0 Factor a trinomial. 2((6 + -1x)(8 + x)) = 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 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {6, -8}
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