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Simplifying 41x2 + -13x = 7x + -9x2 Reorder the terms: -13x + 41x2 = 7x + -9x2 Solving -13x + 41x2 = 7x + -9x2 Solving for variable 'x'. Reorder the terms: -13x + -7x + 41x2 + 9x2 = 7x + -9x2 + -7x + 9x2 Combine like terms: -13x + -7x = -20x -20x + 41x2 + 9x2 = 7x + -9x2 + -7x + 9x2 Combine like terms: 41x2 + 9x2 = 50x2 -20x + 50x2 = 7x + -9x2 + -7x + 9x2 Reorder the terms: -20x + 50x2 = 7x + -7x + -9x2 + 9x2 Combine like terms: 7x + -7x = 0 -20x + 50x2 = 0 + -9x2 + 9x2 -20x + 50x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 -20x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-2 + 5x) = 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 '(-2 + 5x)' equal to zero and attempt to solve: Simplifying -2 + 5x = 0 Solving -2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4Solution
x = {0, 0.4}
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