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Simplifying 16x2 + -8x = 3x2 + 18x Reorder the terms: -8x + 16x2 = 3x2 + 18x Reorder the terms: -8x + 16x2 = 18x + 3x2 Solving -8x + 16x2 = 18x + 3x2 Solving for variable 'x'. Reorder the terms: -8x + -18x + 16x2 + -3x2 = 18x + 3x2 + -18x + -3x2 Combine like terms: -8x + -18x = -26x -26x + 16x2 + -3x2 = 18x + 3x2 + -18x + -3x2 Combine like terms: 16x2 + -3x2 = 13x2 -26x + 13x2 = 18x + 3x2 + -18x + -3x2 Reorder the terms: -26x + 13x2 = 18x + -18x + 3x2 + -3x2 Combine like terms: 18x + -18x = 0 -26x + 13x2 = 0 + 3x2 + -3x2 -26x + 13x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -26x + 13x2 = 0 Factor out the Greatest Common Factor (GCF), '13x'. 13x(-2 + x) = 0 Ignore the factor 13.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 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {0, 2}
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