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Simplifying (7X + 1)(X + -2) = 0 Reorder the terms: (1 + 7X)(X + -2) = 0 Reorder the terms: (1 + 7X)(-2 + X) = 0 Multiply (1 + 7X) * (-2 + X) (1(-2 + X) + 7X * (-2 + X)) = 0 ((-2 * 1 + X * 1) + 7X * (-2 + X)) = 0 ((-2 + 1X) + 7X * (-2 + X)) = 0 (-2 + 1X + (-2 * 7X + X * 7X)) = 0 (-2 + 1X + (-14X + 7X2)) = 0 Combine like terms: 1X + -14X = -13X (-2 + -13X + 7X2) = 0 Solving -2 + -13X + 7X2 = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -7X)(2 + -1X) = 0Subproblem 1
Set the factor '(-1 + -7X)' equal to zero and attempt to solve: Simplifying -1 + -7X = 0 Solving -1 + -7X = 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 + -7X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7X = 0 + 1 -7X = 0 + 1 Combine like terms: 0 + 1 = 1 -7X = 1 Divide each side by '-7'. X = -0.1428571429 Simplifying X = -0.1428571429Subproblem 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 = {-0.1428571429, 2}
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