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Simplifying 5X2 + -18X = -2X2 + -5X + -6 Reorder the terms: -18X + 5X2 = -2X2 + -5X + -6 Reorder the terms: -18X + 5X2 = -6 + -5X + -2X2 Solving -18X + 5X2 = -6 + -5X + -2X2 Solving for variable 'X'. Reorder the terms: 6 + -18X + 5X + 5X2 + 2X2 = -6 + -5X + -2X2 + 6 + 5X + 2X2 Combine like terms: -18X + 5X = -13X 6 + -13X + 5X2 + 2X2 = -6 + -5X + -2X2 + 6 + 5X + 2X2 Combine like terms: 5X2 + 2X2 = 7X2 6 + -13X + 7X2 = -6 + -5X + -2X2 + 6 + 5X + 2X2 Reorder the terms: 6 + -13X + 7X2 = -6 + 6 + -5X + 5X + -2X2 + 2X2 Combine like terms: -6 + 6 = 0 6 + -13X + 7X2 = 0 + -5X + 5X + -2X2 + 2X2 6 + -13X + 7X2 = -5X + 5X + -2X2 + 2X2 Combine like terms: -5X + 5X = 0 6 + -13X + 7X2 = 0 + -2X2 + 2X2 6 + -13X + 7X2 = -2X2 + 2X2 Combine like terms: -2X2 + 2X2 = 0 6 + -13X + 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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