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Simplifying 0 = -16x2 + 46x Reorder the terms: 0 = 46x + -16x2 Solving 0 = 46x + -16x2 Solving for variable 'x'. Remove the zero: -46x + 16x2 = 46x + -16x2 + -46x + 16x2 Reorder the terms: -46x + 16x2 = 46x + -46x + -16x2 + 16x2 Combine like terms: 46x + -46x = 0 -46x + 16x2 = 0 + -16x2 + 16x2 -46x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -46x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-23 + 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 '(-23 + 8x)' equal to zero and attempt to solve: Simplifying -23 + 8x = 0 Solving -23 + 8x = 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 + 8x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 0 + 23 8x = 0 + 23 Combine like terms: 0 + 23 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875Solution
x = {0, 2.875}
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