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Simplifying (5x + 4)(7x + 3) = 0 Reorder the terms: (4 + 5x)(7x + 3) = 0 Reorder the terms: (4 + 5x)(3 + 7x) = 0 Multiply (4 + 5x) * (3 + 7x) (4(3 + 7x) + 5x * (3 + 7x)) = 0 ((3 * 4 + 7x * 4) + 5x * (3 + 7x)) = 0 ((12 + 28x) + 5x * (3 + 7x)) = 0 (12 + 28x + (3 * 5x + 7x * 5x)) = 0 (12 + 28x + (15x + 35x2)) = 0 Combine like terms: 28x + 15x = 43x (12 + 43x + 35x2) = 0 Solving 12 + 43x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 5x)(3 + 7x) = 0Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Subproblem 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 = {-0.8, -0.4285714286}
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