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Simplifying 42x = 5x(10x + -4) Reorder the terms: 42x = 5x(-4 + 10x) 42x = (-4 * 5x + 10x * 5x) 42x = (-20x + 50x2) Solving 42x = -20x + 50x2 Solving for variable 'x'. Combine like terms: 42x + 20x = 62x 62x + -50x2 = -20x + 50x2 + 20x + -50x2 Reorder the terms: 62x + -50x2 = -20x + 20x + 50x2 + -50x2 Combine like terms: -20x + 20x = 0 62x + -50x2 = 0 + 50x2 + -50x2 62x + -50x2 = 50x2 + -50x2 Combine like terms: 50x2 + -50x2 = 0 62x + -50x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(31 + -25x) = 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 '(31 + -25x)' equal to zero and attempt to solve: Simplifying 31 + -25x = 0 Solving 31 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -25x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -25x = 0 + -31 -25x = 0 + -31 Combine like terms: 0 + -31 = -31 -25x = -31 Divide each side by '-25'. x = 1.24 Simplifying x = 1.24Solution
x = {0, 1.24}
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