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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. (7 + 5x)(1 + 6x) = 0Subproblem 1
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 = -1.4Subproblem 2
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 = -0.1666666667Solution
x = {-1.4, -0.1666666667}
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