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Simplifying 2x2 + 4x + 4 = 4x2 + -8x + 4 Reorder the terms: 4 + 4x + 2x2 = 4x2 + -8x + 4 Reorder the terms: 4 + 4x + 2x2 = 4 + -8x + 4x2 Add '-4' to each side of the equation. 4 + 4x + -4 + 2x2 = 4 + -8x + -4 + 4x2 Reorder the terms: 4 + -4 + 4x + 2x2 = 4 + -8x + -4 + 4x2 Combine like terms: 4 + -4 = 0 0 + 4x + 2x2 = 4 + -8x + -4 + 4x2 4x + 2x2 = 4 + -8x + -4 + 4x2 Reorder the terms: 4x + 2x2 = 4 + -4 + -8x + 4x2 Combine like terms: 4 + -4 = 0 4x + 2x2 = 0 + -8x + 4x2 4x + 2x2 = -8x + 4x2 Solving 4x + 2x2 = -8x + 4x2 Solving for variable 'x'. Reorder the terms: 4x + 8x + 2x2 + -4x2 = -8x + 4x2 + 8x + -4x2 Combine like terms: 4x + 8x = 12x 12x + 2x2 + -4x2 = -8x + 4x2 + 8x + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 12x + -2x2 = -8x + 4x2 + 8x + -4x2 Reorder the terms: 12x + -2x2 = -8x + 8x + 4x2 + -4x2 Combine like terms: -8x + 8x = 0 12x + -2x2 = 0 + 4x2 + -4x2 12x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + -1x) = 0 Ignore the factor 2.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 '(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 = {0, 6}
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