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Simplifying 3X2 = 8X + -5 Reorder the terms: 3X2 = -5 + 8X Solving 3X2 = -5 + 8X Solving for variable 'X'. Reorder the terms: 5 + -8X + 3X2 = -5 + 8X + 5 + -8X Reorder the terms: 5 + -8X + 3X2 = -5 + 5 + 8X + -8X Combine like terms: -5 + 5 = 0 5 + -8X + 3X2 = 0 + 8X + -8X 5 + -8X + 3X2 = 8X + -8X Combine like terms: 8X + -8X = 0 5 + -8X + 3X2 = 0 Factor a trinomial. (1 + -1X)(5 + -3X) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(5 + -3X)' equal to zero and attempt to solve: Simplifying 5 + -3X = 0 Solving 5 + -3X = 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 + -3X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3X = 0 + -5 -3X = 0 + -5 Combine like terms: 0 + -5 = -5 -3X = -5 Divide each side by '-3'. X = 1.666666667 Simplifying X = 1.666666667Solution
X = {1, 1.666666667}
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