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Simplifying 12x2 + 8x = -9x Reorder the terms: 8x + 12x2 = -9x Solving 8x + 12x2 = -9x Solving for variable 'x'. Reorder the terms: 8x + 9x + 12x2 = -9x + 9x Combine like terms: 8x + 9x = 17x 17x + 12x2 = -9x + 9x Combine like terms: -9x + 9x = 0 17x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(17 + 12x) = 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 '(17 + 12x)' equal to zero and attempt to solve: Simplifying 17 + 12x = 0 Solving 17 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 12x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = 0 + -17 12x = 0 + -17 Combine like terms: 0 + -17 = -17 12x = -17 Divide each side by '12'. x = -1.416666667 Simplifying x = -1.416666667Solution
x = {0, -1.416666667}
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