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Simplifying 4x2 + 17x = 6x + -2x2 Reorder the terms: 17x + 4x2 = 6x + -2x2 Solving 17x + 4x2 = 6x + -2x2 Solving for variable 'x'. Reorder the terms: 17x + -6x + 4x2 + 2x2 = 6x + -2x2 + -6x + 2x2 Combine like terms: 17x + -6x = 11x 11x + 4x2 + 2x2 = 6x + -2x2 + -6x + 2x2 Combine like terms: 4x2 + 2x2 = 6x2 11x + 6x2 = 6x + -2x2 + -6x + 2x2 Reorder the terms: 11x + 6x2 = 6x + -6x + -2x2 + 2x2 Combine like terms: 6x + -6x = 0 11x + 6x2 = 0 + -2x2 + 2x2 11x + 6x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 11x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 6x) = 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 '(11 + 6x)' equal to zero and attempt to solve: Simplifying 11 + 6x = 0 Solving 11 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 0 + -11 6x = 0 + -11 Combine like terms: 0 + -11 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333Solution
x = {0, -1.833333333}
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