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Simplifying (7x + -2)(-5x + -2) = 0 Reorder the terms: (-2 + 7x)(-5x + -2) = 0 Reorder the terms: (-2 + 7x)(-2 + -5x) = 0 Multiply (-2 + 7x) * (-2 + -5x) (-2(-2 + -5x) + 7x * (-2 + -5x)) = 0 ((-2 * -2 + -5x * -2) + 7x * (-2 + -5x)) = 0 ((4 + 10x) + 7x * (-2 + -5x)) = 0 (4 + 10x + (-2 * 7x + -5x * 7x)) = 0 (4 + 10x + (-14x + -35x2)) = 0 Combine like terms: 10x + -14x = -4x (4 + -4x + -35x2) = 0 Solving 4 + -4x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(2 + 5x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 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 = {0.2857142857, -0.4}
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