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Simplifying 5 = 6X + -1X2 Solving 5 = 6X + -1X2 Solving for variable 'X'. Reorder the terms: 5 + -6X + X2 = 6X + -6X + -1X2 + X2 Combine like terms: 6X + -6X = 0 5 + -6X + X2 = 0 + -1X2 + X2 5 + -6X + X2 = -1X2 + X2 Combine like terms: -1X2 + X2 = 0 5 + -6X + X2 = 0 Factor a trinomial. (1 + -1X)(5 + -1X) = 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 + -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 = {1, 5}
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