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Simplifying 4X2 + 25 = 25X Reorder the terms: 25 + 4X2 = 25X Solving 25 + 4X2 = 25X Solving for variable 'X'. Reorder the terms: 25 + -25X + 4X2 = 25X + -25X Combine like terms: 25X + -25X = 0 25 + -25X + 4X2 = 0 Factor a trinomial. (5 + -4X)(5 + -1X) = 0Subproblem 1
Set the factor '(5 + -4X)' equal to zero and attempt to solve: Simplifying 5 + -4X = 0 Solving 5 + -4X = 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 + -4X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4X = 0 + -5 -4X = 0 + -5 Combine like terms: 0 + -5 = -5 -4X = -5 Divide each side by '-4'. X = 1.25 Simplifying X = 1.25Subproblem 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 = {1.25, 5}
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