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Simplifying 2X2 + -51X = -5X2 + -3X + -36 Reorder the terms: -51X + 2X2 = -5X2 + -3X + -36 Reorder the terms: -51X + 2X2 = -36 + -3X + -5X2 Solving -51X + 2X2 = -36 + -3X + -5X2 Solving for variable 'X'. Reorder the terms: 36 + -51X + 3X + 2X2 + 5X2 = -36 + -3X + -5X2 + 36 + 3X + 5X2 Combine like terms: -51X + 3X = -48X 36 + -48X + 2X2 + 5X2 = -36 + -3X + -5X2 + 36 + 3X + 5X2 Combine like terms: 2X2 + 5X2 = 7X2 36 + -48X + 7X2 = -36 + -3X + -5X2 + 36 + 3X + 5X2 Reorder the terms: 36 + -48X + 7X2 = -36 + 36 + -3X + 3X + -5X2 + 5X2 Combine like terms: -36 + 36 = 0 36 + -48X + 7X2 = 0 + -3X + 3X + -5X2 + 5X2 36 + -48X + 7X2 = -3X + 3X + -5X2 + 5X2 Combine like terms: -3X + 3X = 0 36 + -48X + 7X2 = 0 + -5X2 + 5X2 36 + -48X + 7X2 = -5X2 + 5X2 Combine like terms: -5X2 + 5X2 = 0 36 + -48X + 7X2 = 0 Factor a trinomial. (6 + -7X)(6 + -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 '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 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 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Solution
X = {0.8571428571, 6}
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