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Simplifying 23x + 4x2 = -20x + -2x2 Solving 23x + 4x2 = -20x + -2x2 Solving for variable 'x'. Reorder the terms: 23x + 20x + 4x2 + 2x2 = -20x + -2x2 + 20x + 2x2 Combine like terms: 23x + 20x = 43x 43x + 4x2 + 2x2 = -20x + -2x2 + 20x + 2x2 Combine like terms: 4x2 + 2x2 = 6x2 43x + 6x2 = -20x + -2x2 + 20x + 2x2 Reorder the terms: 43x + 6x2 = -20x + 20x + -2x2 + 2x2 Combine like terms: -20x + 20x = 0 43x + 6x2 = 0 + -2x2 + 2x2 43x + 6x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 43x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(43 + 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 '(43 + 6x)' equal to zero and attempt to solve: Simplifying 43 + 6x = 0 Solving 43 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 6x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 6x = 0 + -43 6x = 0 + -43 Combine like terms: 0 + -43 = -43 6x = -43 Divide each side by '6'. x = -7.166666667 Simplifying x = -7.166666667Solution
x = {0, -7.166666667}
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