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Simplifying (6x + -7)(8x + 1) = 0 Reorder the terms: (-7 + 6x)(8x + 1) = 0 Reorder the terms: (-7 + 6x)(1 + 8x) = 0 Multiply (-7 + 6x) * (1 + 8x) (-7(1 + 8x) + 6x * (1 + 8x)) = 0 ((1 * -7 + 8x * -7) + 6x * (1 + 8x)) = 0 ((-7 + -56x) + 6x * (1 + 8x)) = 0 (-7 + -56x + (1 * 6x + 8x * 6x)) = 0 (-7 + -56x + (6x + 48x2)) = 0 Combine like terms: -56x + 6x = -50x (-7 + -50x + 48x2) = 0 Solving -7 + -50x + 48x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -8x)(7 + -6x) = 0Subproblem 1
Set the factor '(-1 + -8x)' equal to zero and attempt to solve: Simplifying -1 + -8x = 0 Solving -1 + -8x = 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 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 0 + 1 -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {-0.125, 1.166666667}
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