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Simplifying (5x + 7)(7x + 3) = 0 Reorder the terms: (7 + 5x)(7x + 3) = 0 Reorder the terms: (7 + 5x)(3 + 7x) = 0 Multiply (7 + 5x) * (3 + 7x) (7(3 + 7x) + 5x * (3 + 7x)) = 0 ((3 * 7 + 7x * 7) + 5x * (3 + 7x)) = 0 ((21 + 49x) + 5x * (3 + 7x)) = 0 (21 + 49x + (3 * 5x + 7x * 5x)) = 0 (21 + 49x + (15x + 35x2)) = 0 Combine like terms: 49x + 15x = 64x (21 + 64x + 35x2) = 0 Solving 21 + 64x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 5x)(3 + 7x) = 0Subproblem 1
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 = -1.4Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-1.4, -0.4285714286}
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