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Simplifying 8x * 4 = 2(x2 + -5x) Reorder the terms for easier multiplication: 8 * 4x = 2(x2 + -5x) Multiply 8 * 4 32x = 2(x2 + -5x) Reorder the terms: 32x = 2(-5x + x2) 32x = (-5x * 2 + x2 * 2) 32x = (-10x + 2x2) Solving 32x = -10x + 2x2 Solving for variable 'x'. Combine like terms: 32x + 10x = 42x 42x + -2x2 = -10x + 2x2 + 10x + -2x2 Reorder the terms: 42x + -2x2 = -10x + 10x + 2x2 + -2x2 Combine like terms: -10x + 10x = 0 42x + -2x2 = 0 + 2x2 + -2x2 42x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 42x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(21 + -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 '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {0, 21}
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