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Simplifying (4x + 5)(7x + 3) = 0 Reorder the terms: (5 + 4x)(7x + 3) = 0 Reorder the terms: (5 + 4x)(3 + 7x) = 0 Multiply (5 + 4x) * (3 + 7x) (5(3 + 7x) + 4x * (3 + 7x)) = 0 ((3 * 5 + 7x * 5) + 4x * (3 + 7x)) = 0 ((15 + 35x) + 4x * (3 + 7x)) = 0 (15 + 35x + (3 * 4x + 7x * 4x)) = 0 (15 + 35x + (12x + 28x2)) = 0 Combine like terms: 35x + 12x = 47x (15 + 47x + 28x2) = 0 Solving 15 + 47x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 4x)(3 + 7x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 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 = {-1.25, -0.4285714286}
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