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Simplifying 4x2 = 16x + 84 Reorder the terms: 4x2 = 84 + 16x Solving 4x2 = 84 + 16x Solving for variable 'x'. Reorder the terms: -84 + -16x + 4x2 = 84 + 16x + -84 + -16x Reorder the terms: -84 + -16x + 4x2 = 84 + -84 + 16x + -16x Combine like terms: 84 + -84 = 0 -84 + -16x + 4x2 = 0 + 16x + -16x -84 + -16x + 4x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -84 + -16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-21 + -4x + x2) = 0 Factor a trinomial. 4((-3 + -1x)(7 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-3, 7}
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