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Simplifying (7x + 4)(5x + 2) = 0 Reorder the terms: (4 + 7x)(5x + 2) = 0 Reorder the terms: (4 + 7x)(2 + 5x) = 0 Multiply (4 + 7x) * (2 + 5x) (4(2 + 5x) + 7x * (2 + 5x)) = 0 ((2 * 4 + 5x * 4) + 7x * (2 + 5x)) = 0 ((8 + 20x) + 7x * (2 + 5x)) = 0 (8 + 20x + (2 * 7x + 5x * 7x)) = 0 (8 + 20x + (14x + 35x2)) = 0 Combine like terms: 20x + 14x = 34x (8 + 34x + 35x2) = 0 Solving 8 + 34x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 7x)(2 + 5x) = 0Subproblem 1
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 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 = {-0.5714285714, -0.4}
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