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Simplifying 4x2 = 16x + 20 Reorder the terms: 4x2 = 20 + 16x Solving 4x2 = 20 + 16x Solving for variable 'x'. Reorder the terms: -20 + -16x + 4x2 = 20 + 16x + -20 + -16x Reorder the terms: -20 + -16x + 4x2 = 20 + -20 + 16x + -16x Combine like terms: 20 + -20 = 0 -20 + -16x + 4x2 = 0 + 16x + -16x -20 + -16x + 4x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -20 + -16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -4x + x2) = 0 Factor a trinomial. 4((-1 + -1x)(5 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1, 5}
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