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