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Simplifying 2x2 + -66x = 8x Reorder the terms: -66x + 2x2 = 8x Solving -66x + 2x2 = 8x Solving for variable 'x'. Reorder the terms: -66x + -8x + 2x2 = 8x + -8x Combine like terms: -66x + -8x = -74x -74x + 2x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -74x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-37 + x) = 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 '(-37 + x)' equal to zero and attempt to solve: Simplifying -37 + x = 0 Solving -37 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + x = 0 + 37 x = 0 + 37 Combine like terms: 0 + 37 = 37 x = 37 Simplifying x = 37Solution
x = {0, 37}
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