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Simplifying 5x + -6(2x2 + 8(x)) = 0 Reorder the terms: 5x + -6(8x + 2x2) = 0 5x + (8x * -6 + 2x2 * -6) = 0 5x + (-48x + -12x2) = 0 Combine like terms: 5x + -48x = -43x -43x + -12x2 = 0 Solving -43x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(43 + 12x) = 0 Ignore the factor -1.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 '(43 + 12x)' equal to zero and attempt to solve: Simplifying 43 + 12x = 0 Solving 43 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 12x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 12x = 0 + -43 12x = 0 + -43 Combine like terms: 0 + -43 = -43 12x = -43 Divide each side by '12'. x = -3.583333333 Simplifying x = -3.583333333Solution
x = {0, -3.583333333}
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