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Simplifying x = 16x + 112x2 + -72x2 + 12x Reorder the terms: x = 16x + 12x + 112x2 + -72x2 Combine like terms: 16x + 12x = 28x x = 28x + 112x2 + -72x2 Combine like terms: 112x2 + -72x2 = 40x2 x = 28x + 40x2 Solving x = 28x + 40x2 Solving for variable 'x'. Combine like terms: x + -28x = -27x -27x + -40x2 = 28x + 40x2 + -28x + -40x2 Reorder the terms: -27x + -40x2 = 28x + -28x + 40x2 + -40x2 Combine like terms: 28x + -28x = 0 -27x + -40x2 = 0 + 40x2 + -40x2 -27x + -40x2 = 40x2 + -40x2 Combine like terms: 40x2 + -40x2 = 0 -27x + -40x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(27 + 40x) = 0 Ignore the factor -1.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 '(27 + 40x)' equal to zero and attempt to solve: Simplifying 27 + 40x = 0 Solving 27 + 40x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 40x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 40x = 0 + -27 40x = 0 + -27 Combine like terms: 0 + -27 = -27 40x = -27 Divide each side by '40'. x = -0.675 Simplifying x = -0.675Solution
x = {0, -0.675}
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