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Simplifying (x + 7)(5x + 2) + 28 = 0 Reorder the terms: (7 + x)(5x + 2) + 28 = 0 Reorder the terms: (7 + x)(2 + 5x) + 28 = 0 Multiply (7 + x) * (2 + 5x) (7(2 + 5x) + x(2 + 5x)) + 28 = 0 ((2 * 7 + 5x * 7) + x(2 + 5x)) + 28 = 0 ((14 + 35x) + x(2 + 5x)) + 28 = 0 (14 + 35x + (2 * x + 5x * x)) + 28 = 0 (14 + 35x + (2x + 5x2)) + 28 = 0 Combine like terms: 35x + 2x = 37x (14 + 37x + 5x2) + 28 = 0 Reorder the terms: 14 + 28 + 37x + 5x2 = 0 Combine like terms: 14 + 28 = 42 42 + 37x + 5x2 = 0 Solving 42 + 37x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(7 + 5x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -1.4}
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