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Simplifying 42x * x = (50x * x) + -20x Multiply x * x 42x2 = (50x * x) + -20x Multiply x * x 42x2 = (50x2) + -20x Reorder the terms: 42x2 = -20x + (50x2) Solving 42x2 = -20x + (50x2) Solving for variable 'x'. Reorder the terms: 20x + 42x2 + (-50x2) = -20x + (50x2) + 20x + (-50x2) Combine like terms: 42x2 + (-50x2) = -8x2 20x + -8x2 = -20x + (50x2) + 20x + (-50x2) Reorder the terms: 20x + -8x2 = -20x + 20x + (50x2) + (-50x2) Combine like terms: -20x + 20x = 0 20x + -8x2 = 0 + (50x2) + (-50x2) 20x + -8x2 = (50x2) + (-50x2) Combine like terms: (50x2) + (-50x2) = 0 20x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(5 + -2x) = 0 Ignore the factor 4.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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {0, 2.5}
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