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Simplifying (x + 2)(8x + -3) = 3x + -3 Reorder the terms: (2 + x)(8x + -3) = 3x + -3 Reorder the terms: (2 + x)(-3 + 8x) = 3x + -3 Multiply (2 + x) * (-3 + 8x) (2(-3 + 8x) + x(-3 + 8x)) = 3x + -3 ((-3 * 2 + 8x * 2) + x(-3 + 8x)) = 3x + -3 ((-6 + 16x) + x(-3 + 8x)) = 3x + -3 (-6 + 16x + (-3 * x + 8x * x)) = 3x + -3 (-6 + 16x + (-3x + 8x2)) = 3x + -3 Combine like terms: 16x + -3x = 13x (-6 + 13x + 8x2) = 3x + -3 Reorder the terms: -6 + 13x + 8x2 = -3 + 3x Solving -6 + 13x + 8x2 = -3 + 3x Solving for variable 'x'. Reorder the terms: -6 + 3 + 13x + -3x + 8x2 = -3 + 3x + 3 + -3x Combine like terms: -6 + 3 = -3 -3 + 13x + -3x + 8x2 = -3 + 3x + 3 + -3x Combine like terms: 13x + -3x = 10x -3 + 10x + 8x2 = -3 + 3x + 3 + -3x Reorder the terms: -3 + 10x + 8x2 = -3 + 3 + 3x + -3x Combine like terms: -3 + 3 = 0 -3 + 10x + 8x2 = 0 + 3x + -3x -3 + 10x + 8x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 10x + 8x2 = 0 Factor a trinomial. (-3 + -2x)(1 + -4x) = 0Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-1.5, 0.25}
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