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Simplifying (5x2 + 2x + -8) + -1(4x2 + -2x + -8) = 0 Reorder the terms: (-8 + 2x + 5x2) + -1(4x2 + -2x + -8) = 0 Remove parenthesis around (-8 + 2x + 5x2) -8 + 2x + 5x2 + -1(4x2 + -2x + -8) = 0 Reorder the terms: -8 + 2x + 5x2 + -1(-8 + -2x + 4x2) = 0 -8 + 2x + 5x2 + (-8 * -1 + -2x * -1 + 4x2 * -1) = 0 -8 + 2x + 5x2 + (8 + 2x + -4x2) = 0 Reorder the terms: -8 + 8 + 2x + 2x + 5x2 + -4x2 = 0 Combine like terms: -8 + 8 = 0 0 + 2x + 2x + 5x2 + -4x2 = 0 2x + 2x + 5x2 + -4x2 = 0 Combine like terms: 2x + 2x = 4x 4x + 5x2 + -4x2 = 0 Combine like terms: 5x2 + -4x2 = 1x2 4x + 1x2 = 0 Solving 4x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + x) = 0Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
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