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Simplifying -16x2 + -78x = 0 Reorder the terms: -78x + -16x2 = 0 Solving -78x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(39 + 8x) = 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 '(39 + 8x)' equal to zero and attempt to solve: Simplifying 39 + 8x = 0 Solving 39 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 8x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 8x = 0 + -39 8x = 0 + -39 Combine like terms: 0 + -39 = -39 8x = -39 Divide each side by '8'. x = -4.875 Simplifying x = -4.875Solution
x = {0, -4.875}
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