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Simplifying 24X2 = 26X + -5 Reorder the terms: 24X2 = -5 + 26X Solving 24X2 = -5 + 26X Solving for variable 'X'. Reorder the terms: 5 + -26X + 24X2 = -5 + 26X + 5 + -26X Reorder the terms: 5 + -26X + 24X2 = -5 + 5 + 26X + -26X Combine like terms: -5 + 5 = 0 5 + -26X + 24X2 = 0 + 26X + -26X 5 + -26X + 24X2 = 26X + -26X Combine like terms: 26X + -26X = 0 5 + -26X + 24X2 = 0 Factor a trinomial. (1 + -4X)(5 + -6X) = 0Subproblem 1
Set the factor '(1 + -4X)' equal to zero and attempt to solve: Simplifying 1 + -4X = 0 Solving 1 + -4X = 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 + -4X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4X = 0 + -1 -4X = 0 + -1 Combine like terms: 0 + -1 = -1 -4X = -1 Divide each side by '-4'. X = 0.25 Simplifying X = 0.25Subproblem 2
Set the factor '(5 + -6X)' equal to zero and attempt to solve: Simplifying 5 + -6X = 0 Solving 5 + -6X = 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 + -6X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6X = 0 + -5 -6X = 0 + -5 Combine like terms: 0 + -5 = -5 -6X = -5 Divide each side by '-6'. X = 0.8333333333 Simplifying X = 0.8333333333Solution
X = {0.25, 0.8333333333}
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