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Simplifying 4X2 + 5X = 26 Reorder the terms: 5X + 4X2 = 26 Solving 5X + 4X2 = 26 Solving for variable 'X'. Reorder the terms: -26 + 5X + 4X2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + 5X + 4X2 = 0 Factor a trinomial. (-13 + -4X)(2 + -1X) = 0Subproblem 1
Set the factor '(-13 + -4X)' equal to zero and attempt to solve: Simplifying -13 + -4X = 0 Solving -13 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4X = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4X = 0 + 13 -4X = 0 + 13 Combine like terms: 0 + 13 = 13 -4X = 13 Divide each side by '-4'. X = -3.25 Simplifying X = -3.25Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {-3.25, 2}
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