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Simplifying x = 4x2 + -16x Reorder the terms: x = -16x + 4x2 Solving x = -16x + 4x2 Solving for variable 'x'. Combine like terms: x + 16x = 17x 17x + -4x2 = -16x + 4x2 + 16x + -4x2 Reorder the terms: 17x + -4x2 = -16x + 16x + 4x2 + -4x2 Combine like terms: -16x + 16x = 0 17x + -4x2 = 0 + 4x2 + -4x2 17x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 17x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(17 + -4x) = 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 '(17 + -4x)' equal to zero and attempt to solve: Simplifying 17 + -4x = 0 Solving 17 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 0 + -17 -4x = 0 + -17 Combine like terms: 0 + -17 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25Solution
x = {0, 4.25}
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