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Simplifying 3x(x + -2) + 2x(4x + 4) = 0 Reorder the terms: 3x(-2 + x) + 2x(4x + 4) = 0 (-2 * 3x + x * 3x) + 2x(4x + 4) = 0 (-6x + 3x2) + 2x(4x + 4) = 0 Reorder the terms: -6x + 3x2 + 2x(4 + 4x) = 0 -6x + 3x2 + (4 * 2x + 4x * 2x) = 0 -6x + 3x2 + (8x + 8x2) = 0 Reorder the terms: -6x + 8x + 3x2 + 8x2 = 0 Combine like terms: -6x + 8x = 2x 2x + 3x2 + 8x2 = 0 Combine like terms: 3x2 + 8x2 = 11x2 2x + 11x2 = 0 Solving 2x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + 11x) = 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 '(2 + 11x)' equal to zero and attempt to solve: Simplifying 2 + 11x = 0 Solving 2 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 0 + -2 11x = 0 + -2 Combine like terms: 0 + -2 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818Solution
x = {0, -0.1818181818}
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