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Simplifying 2x2 + -10x + 40x = 8x Reorder the terms: -10x + 40x + 2x2 = 8x Combine like terms: -10x + 40x = 30x 30x + 2x2 = 8x Solving 30x + 2x2 = 8x Solving for variable 'x'. Reorder the terms: 30x + -8x + 2x2 = 8x + -8x Combine like terms: 30x + -8x = 22x 22x + 2x2 = 8x + -8x Combine like terms: 8x + -8x = 0 22x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(11 + 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {0, -11}
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