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Simplifying (5x + -7)(6x + -1) = 0 Reorder the terms: (-7 + 5x)(6x + -1) = 0 Reorder the terms: (-7 + 5x)(-1 + 6x) = 0 Multiply (-7 + 5x) * (-1 + 6x) (-7(-1 + 6x) + 5x * (-1 + 6x)) = 0 ((-1 * -7 + 6x * -7) + 5x * (-1 + 6x)) = 0 ((7 + -42x) + 5x * (-1 + 6x)) = 0 (7 + -42x + (-1 * 5x + 6x * 5x)) = 0 (7 + -42x + (-5x + 30x2)) = 0 Combine like terms: -42x + -5x = -47x (7 + -47x + 30x2) = 0 Solving 7 + -47x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -6x)(7 + -5x) = 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 '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {0.1666666667, 1.4}
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