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Simplifying 50x2 + -20x = 42x2 Reorder the terms: -20x + 50x2 = 42x2 Solving -20x + 50x2 = 42x2 Solving for variable 'x'. Combine like terms: 50x2 + -42x2 = 8x2 -20x + 8x2 = 42x2 + -42x2 Combine like terms: 42x2 + -42x2 = 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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