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Simplifying (6x + -1)(8x + -3) = 0 Reorder the terms: (-1 + 6x)(8x + -3) = 0 Reorder the terms: (-1 + 6x)(-3 + 8x) = 0 Multiply (-1 + 6x) * (-3 + 8x) (-1(-3 + 8x) + 6x * (-3 + 8x)) = 0 ((-3 * -1 + 8x * -1) + 6x * (-3 + 8x)) = 0 ((3 + -8x) + 6x * (-3 + 8x)) = 0 (3 + -8x + (-3 * 6x + 8x * 6x)) = 0 (3 + -8x + (-18x + 48x2)) = 0 Combine like terms: -8x + -18x = -26x (3 + -26x + 48x2) = 0 Solving 3 + -26x + 48x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -6x)(3 + -8x) = 0Subproblem 1
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 = 0.1666666667Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {0.1666666667, 0.375}
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