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Simplifying (7x + 2)(-5x + 1) = 0 Reorder the terms: (2 + 7x)(-5x + 1) = 0 Reorder the terms: (2 + 7x)(1 + -5x) = 0 Multiply (2 + 7x) * (1 + -5x) (2(1 + -5x) + 7x * (1 + -5x)) = 0 ((1 * 2 + -5x * 2) + 7x * (1 + -5x)) = 0 ((2 + -10x) + 7x * (1 + -5x)) = 0 (2 + -10x + (1 * 7x + -5x * 7x)) = 0 (2 + -10x + (7x + -35x2)) = 0 Combine like terms: -10x + 7x = -3x (2 + -3x + -35x2) = 0 Solving 2 + -3x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -5x)(2 + 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 '(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 = -0.2857142857Solution
x = {0.2, -0.2857142857}
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