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Simplifying (2x + 1)(3x + -2) = -2 Reorder the terms: (1 + 2x)(3x + -2) = -2 Reorder the terms: (1 + 2x)(-2 + 3x) = -2 Multiply (1 + 2x) * (-2 + 3x) (1(-2 + 3x) + 2x * (-2 + 3x)) = -2 ((-2 * 1 + 3x * 1) + 2x * (-2 + 3x)) = -2 ((-2 + 3x) + 2x * (-2 + 3x)) = -2 (-2 + 3x + (-2 * 2x + 3x * 2x)) = -2 (-2 + 3x + (-4x + 6x2)) = -2 Combine like terms: 3x + -4x = -1x (-2 + -1x + 6x2) = -2 Add '2' to each side of the equation. -2 + -1x + 2 + 6x2 = -2 + 2 Reorder the terms: -2 + 2 + -1x + 6x2 = -2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x + 6x2 = -2 + 2 -1x + 6x2 = -2 + 2 Combine like terms: -2 + 2 = 0 -1x + 6x2 = 0 Solving -1x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 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 '(-1 + 6x)' equal to zero and attempt to solve: Simplifying -1 + 6x = 0 Solving -1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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