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Simplifying x2 + -16x + 62x = 0 Reorder the terms: -16x + 62x + x2 = 0 Combine like terms: -16x + 62x = 46x 46x + x2 = 0 Solving 46x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(46 + x) = 0Subproblem 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 '(46 + x)' equal to zero and attempt to solve: Simplifying 46 + x = 0 Solving 46 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + x = 0 + -46 x = 0 + -46 Combine like terms: 0 + -46 = -46 x = -46 Simplifying x = -46Solution
x = {0, -46}
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