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Simplifying -16x2 + 108x = 0 Reorder the terms: 108x + -16x2 = 0 Solving 108x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(27 + -4x) = 0 Ignore the factor 4.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 '(27 + -4x)' equal to zero and attempt to solve: Simplifying 27 + -4x = 0 Solving 27 + -4x = 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 + -4x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 0 + -27 -4x = 0 + -27 Combine like terms: 0 + -27 = -27 -4x = -27 Divide each side by '-4'. x = 6.75 Simplifying x = 6.75Solution
x = {0, 6.75}
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