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Simplifying 40x2 + -13x = 3x2 + 34x2 + 5x Reorder the terms: -13x + 40x2 = 3x2 + 34x2 + 5x Reorder the terms: -13x + 40x2 = 5x + 3x2 + 34x2 Combine like terms: 3x2 + 34x2 = 37x2 -13x + 40x2 = 5x + 37x2 Solving -13x + 40x2 = 5x + 37x2 Solving for variable 'x'. Reorder the terms: -13x + -5x + 40x2 + -37x2 = 5x + 37x2 + -5x + -37x2 Combine like terms: -13x + -5x = -18x -18x + 40x2 + -37x2 = 5x + 37x2 + -5x + -37x2 Combine like terms: 40x2 + -37x2 = 3x2 -18x + 3x2 = 5x + 37x2 + -5x + -37x2 Reorder the terms: -18x + 3x2 = 5x + -5x + 37x2 + -37x2 Combine like terms: 5x + -5x = 0 -18x + 3x2 = 0 + 37x2 + -37x2 -18x + 3x2 = 37x2 + -37x2 Combine like terms: 37x2 + -37x2 = 0 -18x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-6 + x) = 0 Ignore the factor 3.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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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