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Simplifying -16x2 + 92x = 0 Reorder the terms: 92x + -16x2 = 0 Solving 92x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(23 + -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 '(23 + -4x)' equal to zero and attempt to solve: Simplifying 23 + -4x = 0 Solving 23 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 0 + -23 -4x = 0 + -23 Combine like terms: 0 + -23 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75Solution
x = {0, 5.75}
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