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Simplifying 2X2 + -3 = 9X + -13 Reorder the terms: -3 + 2X2 = 9X + -13 Reorder the terms: -3 + 2X2 = -13 + 9X Solving -3 + 2X2 = -13 + 9X Solving for variable 'X'. Reorder the terms: -3 + 13 + -9X + 2X2 = -13 + 9X + 13 + -9X Combine like terms: -3 + 13 = 10 10 + -9X + 2X2 = -13 + 9X + 13 + -9X Reorder the terms: 10 + -9X + 2X2 = -13 + 13 + 9X + -9X Combine like terms: -13 + 13 = 0 10 + -9X + 2X2 = 0 + 9X + -9X 10 + -9X + 2X2 = 9X + -9X Combine like terms: 9X + -9X = 0 10 + -9X + 2X2 = 0 Factor a trinomial. (2 + -1X)(5 + -2X) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(5 + -2X)' equal to zero and attempt to solve: Simplifying 5 + -2X = 0 Solving 5 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2X = 0 + -5 -2X = 0 + -5 Combine like terms: 0 + -5 = -5 -2X = -5 Divide each side by '-2'. X = 2.5 Simplifying X = 2.5Solution
X = {2, 2.5}
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