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Simplifying (7x + 3)(5x + -2) = 0 Reorder the terms: (3 + 7x)(5x + -2) = 0 Reorder the terms: (3 + 7x)(-2 + 5x) = 0 Multiply (3 + 7x) * (-2 + 5x) (3(-2 + 5x) + 7x * (-2 + 5x)) = 0 ((-2 * 3 + 5x * 3) + 7x * (-2 + 5x)) = 0 ((-6 + 15x) + 7x * (-2 + 5x)) = 0 (-6 + 15x + (-2 * 7x + 5x * 7x)) = 0 (-6 + 15x + (-14x + 35x2)) = 0 Combine like terms: 15x + -14x = 1x (-6 + 1x + 35x2) = 0 Solving -6 + 1x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -7x)(2 + -5x) = 0Subproblem 1
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 = -0.4285714286Subproblem 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 = {-0.4285714286, 0.4}
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