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Simplifying 2x2 + 35x = x2 + 8x Reorder the terms: 35x + 2x2 = x2 + 8x Reorder the terms: 35x + 2x2 = 8x + x2 Solving 35x + 2x2 = 8x + x2 Solving for variable 'x'. Reorder the terms: 35x + -8x + 2x2 + -1x2 = 8x + x2 + -8x + -1x2 Combine like terms: 35x + -8x = 27x 27x + 2x2 + -1x2 = 8x + x2 + -8x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 27x + 1x2 = 8x + x2 + -8x + -1x2 Reorder the terms: 27x + 1x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 27x + 1x2 = 0 + x2 + -1x2 27x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 27x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(27 + x) = 0Subproblem 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 '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27Solution
x = {0, -27}
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