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Simplifying (8x + -2)(3x + 2x + -1) = 0 Reorder the terms: (-2 + 8x)(3x + 2x + -1) = 0 Reorder the terms: (-2 + 8x)(-1 + 3x + 2x) = 0 Combine like terms: 3x + 2x = 5x (-2 + 8x)(-1 + 5x) = 0 Multiply (-2 + 8x) * (-1 + 5x) (-2(-1 + 5x) + 8x * (-1 + 5x)) = 0 ((-1 * -2 + 5x * -2) + 8x * (-1 + 5x)) = 0 ((2 + -10x) + 8x * (-1 + 5x)) = 0 (2 + -10x + (-1 * 8x + 5x * 8x)) = 0 (2 + -10x + (-8x + 40x2)) = 0 Combine like terms: -10x + -8x = -18x (2 + -18x + 40x2) = 0 Solving 2 + -18x + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -9x + 20x2) = 0 Factor a trinomial. 2((1 + -5x)(1 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 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 = {0.2, 0.25}
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