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Simplifying (7x + -6)(x + -2) = 0 Reorder the terms: (-6 + 7x)(x + -2) = 0 Reorder the terms: (-6 + 7x)(-2 + x) = 0 Multiply (-6 + 7x) * (-2 + x) (-6(-2 + x) + 7x * (-2 + x)) = 0 ((-2 * -6 + x * -6) + 7x * (-2 + x)) = 0 ((12 + -6x) + 7x * (-2 + x)) = 0 (12 + -6x + (-2 * 7x + x * 7x)) = 0 (12 + -6x + (-14x + 7x2)) = 0 Combine like terms: -6x + -14x = -20x (12 + -20x + 7x2) = 0 Solving 12 + -20x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -7x)(2 + -1x) = 0Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 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 = {0.8571428571, 2}
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