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Simplifying 5x = 6x2 + 17x Reorder the terms: 5x = 17x + 6x2 Solving 5x = 17x + 6x2 Solving for variable 'x'. Combine like terms: 5x + -17x = -12x -12x + -6x2 = 17x + 6x2 + -17x + -6x2 Reorder the terms: -12x + -6x2 = 17x + -17x + 6x2 + -6x2 Combine like terms: 17x + -17x = 0 -12x + -6x2 = 0 + 6x2 + -6x2 -12x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -12x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-6x'. -6x(2 + x) = 0 Ignore the factor -6.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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