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Simplifying 3X2 = -40 + 23X Solving 3X2 = -40 + 23X Solving for variable 'X'. Reorder the terms: 40 + -23X + 3X2 = -40 + 23X + 40 + -23X Reorder the terms: 40 + -23X + 3X2 = -40 + 40 + 23X + -23X Combine like terms: -40 + 40 = 0 40 + -23X + 3X2 = 0 + 23X + -23X 40 + -23X + 3X2 = 23X + -23X Combine like terms: 23X + -23X = 0 40 + -23X + 3X2 = 0 Factor a trinomial. (8 + -3X)(5 + -1X) = 0Subproblem 1
Set the factor '(8 + -3X)' equal to zero and attempt to solve: Simplifying 8 + -3X = 0 Solving 8 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3X = 0 + -8 -3X = 0 + -8 Combine like terms: 0 + -8 = -8 -3X = -8 Divide each side by '-3'. X = 2.666666667 Simplifying X = 2.666666667Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 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 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {2.666666667, 5}
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