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Simplifying (2x + 7)(5x + 2) = 0 Reorder the terms: (7 + 2x)(5x + 2) = 0 Reorder the terms: (7 + 2x)(2 + 5x) = 0 Multiply (7 + 2x) * (2 + 5x) (7(2 + 5x) + 2x * (2 + 5x)) = 0 ((2 * 7 + 5x * 7) + 2x * (2 + 5x)) = 0 ((14 + 35x) + 2x * (2 + 5x)) = 0 (14 + 35x + (2 * 2x + 5x * 2x)) = 0 (14 + 35x + (4x + 10x2)) = 0 Combine like terms: 35x + 4x = 39x (14 + 39x + 10x2) = 0 Solving 14 + 39x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 2x)(2 + 5x) = 0Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-3.5, -0.4}
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