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Simplifying (7 + x)(5x + 6) = 0 Reorder the terms: (7 + x)(6 + 5x) = 0 Multiply (7 + x) * (6 + 5x) (7(6 + 5x) + x(6 + 5x)) = 0 ((6 * 7 + 5x * 7) + x(6 + 5x)) = 0 ((42 + 35x) + x(6 + 5x)) = 0 (42 + 35x + (6 * x + 5x * x)) = 0 (42 + 35x + (6x + 5x2)) = 0 Combine like terms: 35x + 6x = 41x (42 + 41x + 5x2) = 0 Solving 42 + 41x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(6 + 5x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 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 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-7, -1.2}
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