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Simplifying (2x + 7)(2x + -7x + 3) = 0 Reorder the terms: (7 + 2x)(2x + -7x + 3) = 0 Reorder the terms: (7 + 2x)(3 + 2x + -7x) = 0 Combine like terms: 2x + -7x = -5x (7 + 2x)(3 + -5x) = 0 Multiply (7 + 2x) * (3 + -5x) (7(3 + -5x) + 2x * (3 + -5x)) = 0 ((3 * 7 + -5x * 7) + 2x * (3 + -5x)) = 0 ((21 + -35x) + 2x * (3 + -5x)) = 0 (21 + -35x + (3 * 2x + -5x * 2x)) = 0 (21 + -35x + (6x + -10x2)) = 0 Combine like terms: -35x + 6x = -29x (21 + -29x + -10x2) = 0 Solving 21 + -29x + -10x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(7 + 2x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
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 = -3.5Solution
x = {0.6, -3.5}
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