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Simplifying (7x + -3)(5x + -1) = 0 Reorder the terms: (-3 + 7x)(5x + -1) = 0 Reorder the terms: (-3 + 7x)(-1 + 5x) = 0 Multiply (-3 + 7x) * (-1 + 5x) (-3(-1 + 5x) + 7x * (-1 + 5x)) = 0 ((-1 * -3 + 5x * -3) + 7x * (-1 + 5x)) = 0 ((3 + -15x) + 7x * (-1 + 5x)) = 0 (3 + -15x + (-1 * 7x + 5x * 7x)) = 0 (3 + -15x + (-7x + 35x2)) = 0 Combine like terms: -15x + -7x = -22x (3 + -22x + 35x2) = 0 Solving 3 + -22x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -5x)(3 + -7x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 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 = {0.2, 0.4285714286}
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