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Simplifying x(10 + -1x) = 2(5x + -2x) (10 * x + -1x * x) = 2(5x + -2x) (10x + -1x2) = 2(5x + -2x) Combine like terms: 5x + -2x = 3x 10x + -1x2 = 2(3x) Remove parenthesis around (3x) 10x + -1x2 = 2 * 3x Multiply 2 * 3 10x + -1x2 = 6x Solving 10x + -1x2 = 6x Solving for variable 'x'. Reorder the terms: 10x + -6x + -1x2 = 6x + -6x Combine like terms: 10x + -6x = 4x 4x + -1x2 = 6x + -6x Combine like terms: 6x + -6x = 0 4x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, 4}
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