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Simplifying 4(x + -1) * 2 + -1(4x + 3)(x + -2) = -2 Reorder the terms: 4(-1 + x) * 2 + -1(4x + 3)(x + -2) = -2 Reorder the terms for easier multiplication: 4 * 2(-1 + x) + -1(4x + 3)(x + -2) = -2 Multiply 4 * 2 8(-1 + x) + -1(4x + 3)(x + -2) = -2 (-1 * 8 + x * 8) + -1(4x + 3)(x + -2) = -2 (-8 + 8x) + -1(4x + 3)(x + -2) = -2 Reorder the terms: -8 + 8x + -1(3 + 4x)(x + -2) = -2 Reorder the terms: -8 + 8x + -1(3 + 4x)(-2 + x) = -2 Multiply (3 + 4x) * (-2 + x) -8 + 8x + -1(3(-2 + x) + 4x * (-2 + x)) = -2 -8 + 8x + -1((-2 * 3 + x * 3) + 4x * (-2 + x)) = -2 -8 + 8x + -1((-6 + 3x) + 4x * (-2 + x)) = -2 -8 + 8x + -1(-6 + 3x + (-2 * 4x + x * 4x)) = -2 -8 + 8x + -1(-6 + 3x + (-8x + 4x2)) = -2 Combine like terms: 3x + -8x = -5x -8 + 8x + -1(-6 + -5x + 4x2) = -2 -8 + 8x + (-6 * -1 + -5x * -1 + 4x2 * -1) = -2 -8 + 8x + (6 + 5x + -4x2) = -2 Reorder the terms: -8 + 6 + 8x + 5x + -4x2 = -2 Combine like terms: -8 + 6 = -2 -2 + 8x + 5x + -4x2 = -2 Combine like terms: 8x + 5x = 13x -2 + 13x + -4x2 = -2 Add '2' to each side of the equation. -2 + 13x + 2 + -4x2 = -2 + 2 Reorder the terms: -2 + 2 + 13x + -4x2 = -2 + 2 Combine like terms: -2 + 2 = 0 0 + 13x + -4x2 = -2 + 2 13x + -4x2 = -2 + 2 Combine like terms: -2 + 2 = 0 13x + -4x2 = 0 Solving 13x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(13 + -4x) = 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 '(13 + -4x)' equal to zero and attempt to solve: Simplifying 13 + -4x = 0 Solving 13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25Solution
x = {0, 3.25}
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