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Simplifying 5x = x2 + -3x Reorder the terms: 5x = -3x + x2 Solving 5x = -3x + x2 Solving for variable 'x'. Combine like terms: 5x + 3x = 8x 8x + -1x2 = -3x + x2 + 3x + -1x2 Reorder the terms: 8x + -1x2 = -3x + 3x + x2 + -1x2 Combine like terms: -3x + 3x = 0 8x + -1x2 = 0 + x2 + -1x2 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0, 8}
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