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Simplifying (7x + -5)(x + -2) = 0 Reorder the terms: (-5 + 7x)(x + -2) = 0 Reorder the terms: (-5 + 7x)(-2 + x) = 0 Multiply (-5 + 7x) * (-2 + x) (-5(-2 + x) + 7x * (-2 + x)) = 0 ((-2 * -5 + x * -5) + 7x * (-2 + x)) = 0 ((10 + -5x) + 7x * (-2 + x)) = 0 (10 + -5x + (-2 * 7x + x * 7x)) = 0 (10 + -5x + (-14x + 7x2)) = 0 Combine like terms: -5x + -14x = -19x (10 + -19x + 7x2) = 0 Solving 10 + -19x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -7x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.7142857143, 2}
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