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Simplifying x2 + -5 = 5x2 + -8x + -5 Reorder the terms: -5 + x2 = 5x2 + -8x + -5 Reorder the terms: -5 + x2 = -5 + -8x + 5x2 Add '5' to each side of the equation. -5 + 5 + x2 = -5 + -8x + 5 + 5x2 Combine like terms: -5 + 5 = 0 0 + x2 = -5 + -8x + 5 + 5x2 x2 = -5 + -8x + 5 + 5x2 Reorder the terms: x2 = -5 + 5 + -8x + 5x2 Combine like terms: -5 + 5 = 0 x2 = 0 + -8x + 5x2 x2 = -8x + 5x2 Solving x2 = -8x + 5x2 Solving for variable 'x'. Reorder the terms: 8x + x2 + -5x2 = -8x + 5x2 + 8x + -5x2 Combine like terms: x2 + -5x2 = -4x2 8x + -4x2 = -8x + 5x2 + 8x + -5x2 Reorder the terms: 8x + -4x2 = -8x + 8x + 5x2 + -5x2 Combine like terms: -8x + 8x = 0 8x + -4x2 = 0 + 5x2 + -5x2 8x + -4x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 8x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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