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Simplifying 5X2 = 43X + -24 Reorder the terms: 5X2 = -24 + 43X Solving 5X2 = -24 + 43X Solving for variable 'X'. Reorder the terms: 24 + -43X + 5X2 = -24 + 43X + 24 + -43X Reorder the terms: 24 + -43X + 5X2 = -24 + 24 + 43X + -43X Combine like terms: -24 + 24 = 0 24 + -43X + 5X2 = 0 + 43X + -43X 24 + -43X + 5X2 = 43X + -43X Combine like terms: 43X + -43X = 0 24 + -43X + 5X2 = 0 Factor a trinomial. (3 + -5X)(8 + -1X) = 0Subproblem 1
Set the factor '(3 + -5X)' equal to zero and attempt to solve: Simplifying 3 + -5X = 0 Solving 3 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5X = 0 + -3 -5X = 0 + -3 Combine like terms: 0 + -3 = -3 -5X = -3 Divide each side by '-5'. X = 0.6 Simplifying X = 0.6Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 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 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {0.6, 8}
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