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Simplifying -16x2 + 122x = 0 Reorder the terms: 122x + -16x2 = 0 Solving 122x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(61 + -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 '(61 + -8x)' equal to zero and attempt to solve: Simplifying 61 + -8x = 0 Solving 61 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -8x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -8x = 0 + -61 -8x = 0 + -61 Combine like terms: 0 + -61 = -61 -8x = -61 Divide each side by '-8'. x = 7.625 Simplifying x = 7.625Solution
x = {0, 7.625}
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