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Simplifying (x + -6)(6x + -7) = 0 Reorder the terms: (-6 + x)(6x + -7) = 0 Reorder the terms: (-6 + x)(-7 + 6x) = 0 Multiply (-6 + x) * (-7 + 6x) (-6(-7 + 6x) + x(-7 + 6x)) = 0 ((-7 * -6 + 6x * -6) + x(-7 + 6x)) = 0 ((42 + -36x) + x(-7 + 6x)) = 0 (42 + -36x + (-7 * x + 6x * x)) = 0 (42 + -36x + (-7x + 6x2)) = 0 Combine like terms: -36x + -7x = -43x (42 + -43x + 6x2) = 0 Solving 42 + -43x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -6x)(6 + -1x) = 0Subproblem 1
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 = 1.166666667Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {1.166666667, 6}
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