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Simplifying 3x + 2x + -1x * 4x = 32x Reorder the terms for easier multiplication: 3x + 2x + -1 * 4x * x = 32x Multiply -1 * 4 3x + 2x + -4x * x = 32x Multiply x * x 3x + 2x + -4x2 = 32x Combine like terms: 3x + 2x = 5x 5x + -4x2 = 32x Solving 5x + -4x2 = 32x Solving for variable 'x'. Reorder the terms: 5x + -32x + -4x2 = 32x + -32x Combine like terms: 5x + -32x = -27x -27x + -4x2 = 32x + -32x Combine like terms: 32x + -32x = 0 -27x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(27 + 4x) = 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 + 4x)' equal to zero and attempt to solve: Simplifying 27 + 4x = 0 Solving 27 + 4x = 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 + 4x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 0 + -27 4x = 0 + -27 Combine like terms: 0 + -27 = -27 4x = -27 Divide each side by '4'. x = -6.75 Simplifying x = -6.75Solution
x = {0, -6.75}
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