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Simplifying 3X2 + -25X = -2X2 + -9X + -12 Reorder the terms: -25X + 3X2 = -2X2 + -9X + -12 Reorder the terms: -25X + 3X2 = -12 + -9X + -2X2 Solving -25X + 3X2 = -12 + -9X + -2X2 Solving for variable 'X'. Reorder the terms: 12 + -25X + 9X + 3X2 + 2X2 = -12 + -9X + -2X2 + 12 + 9X + 2X2 Combine like terms: -25X + 9X = -16X 12 + -16X + 3X2 + 2X2 = -12 + -9X + -2X2 + 12 + 9X + 2X2 Combine like terms: 3X2 + 2X2 = 5X2 12 + -16X + 5X2 = -12 + -9X + -2X2 + 12 + 9X + 2X2 Reorder the terms: 12 + -16X + 5X2 = -12 + 12 + -9X + 9X + -2X2 + 2X2 Combine like terms: -12 + 12 = 0 12 + -16X + 5X2 = 0 + -9X + 9X + -2X2 + 2X2 12 + -16X + 5X2 = -9X + 9X + -2X2 + 2X2 Combine like terms: -9X + 9X = 0 12 + -16X + 5X2 = 0 + -2X2 + 2X2 12 + -16X + 5X2 = -2X2 + 2X2 Combine like terms: -2X2 + 2X2 = 0 12 + -16X + 5X2 = 0 Factor a trinomial. (6 + -5X)(2 + -1X) = 0Subproblem 1
Set the factor '(6 + -5X)' equal to zero and attempt to solve: Simplifying 6 + -5X = 0 Solving 6 + -5X = 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 + -5X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5X = 0 + -6 -5X = 0 + -6 Combine like terms: 0 + -6 = -6 -5X = -6 Divide each side by '-5'. X = 1.2 Simplifying X = 1.2Subproblem 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 = {1.2, 2}
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