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Simplifying (7X2) + -1X = 6 Reorder the terms: -1X + (7X2) = 6 Solving -1X + (7X2) = 6 Solving for variable 'X'. Reorder the terms: -6 + -1X + (7X2) = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -1X + (7X2) = 0 Factor a trinomial. (-6 + -7X)(1 + -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 '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 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 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Solution
X = {-0.8571428571, 1}
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