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Simplifying 2x(2 + -1x) = 24x (2 * 2x + -1x * 2x) = 24x (4x + -2x2) = 24x Solving 4x + -2x2 = 24x Solving for variable 'x'. Reorder the terms: 4x + -24x + -2x2 = 24x + -24x Combine like terms: 4x + -24x = -20x -20x + -2x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(10 + x) = 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {0, -10}
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