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Simplifying 40x = (8x + -1x2) * 10 Reorder the terms for easier multiplication: 40x = 10(8x + -1x2) 40x = (8x * 10 + -1x2 * 10) 40x = (80x + -10x2) Solving 40x = 80x + -10x2 Solving for variable 'x'. Combine like terms: 40x + -80x = -40x -40x + 10x2 = 80x + -10x2 + -80x + 10x2 Reorder the terms: -40x + 10x2 = 80x + -80x + -10x2 + 10x2 Combine like terms: 80x + -80x = 0 -40x + 10x2 = 0 + -10x2 + 10x2 -40x + 10x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 -40x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-4 + x) = 0 Ignore the factor 10.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 '(-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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