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Simplifying x(3x + -1) + x(4 + -1x) = 0 Reorder the terms: x(-1 + 3x) + x(4 + -1x) = 0 (-1 * x + 3x * x) + x(4 + -1x) = 0 (-1x + 3x2) + x(4 + -1x) = 0 -1x + 3x2 + (4 * x + -1x * x) = 0 -1x + 3x2 + (4x + -1x2) = 0 Reorder the terms: -1x + 4x + 3x2 + -1x2 = 0 Combine like terms: -1x + 4x = 3x 3x + 3x2 + -1x2 = 0 Combine like terms: 3x2 + -1x2 = 2x2 3x + 2x2 = 0 Solving 3x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 2x) = 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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