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Simplifying (2x)(2x + -8) = 48 Remove parenthesis around (2x) 2x(2x + -8) = 48 Reorder the terms: 2x(-8 + 2x) = 48 (-8 * 2x + 2x * 2x) = 48 (-16x + 4x2) = 48 Solving -16x + 4x2 = 48 Solving for variable 'x'. Reorder the terms: -48 + -16x + 4x2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -4x + x2) = 0 Factor a trinomial. 4((-2 + -1x)(6 + -1x)) = 0 Ignore the factor 4.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 = -2Subproblem 2
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 = 6Solution
x = {-2, 6}
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