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Simplifying -1(x + 1)(7x + -5) = 0 Reorder the terms: -1(1 + x)(7x + -5) = 0 Reorder the terms: -1(1 + x)(-5 + 7x) = 0 Multiply (1 + x) * (-5 + 7x) -1(1(-5 + 7x) + x(-5 + 7x)) = 0 -1((-5 * 1 + 7x * 1) + x(-5 + 7x)) = 0 -1((-5 + 7x) + x(-5 + 7x)) = 0 -1(-5 + 7x + (-5 * x + 7x * x)) = 0 -1(-5 + 7x + (-5x + 7x2)) = 0 Combine like terms: 7x + -5x = 2x -1(-5 + 2x + 7x2) = 0 (-5 * -1 + 2x * -1 + 7x2 * -1) = 0 (5 + -2x + -7x2) = 0 Solving 5 + -2x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -7x)(1 + x) = 0Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.7142857143, -1}
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