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Simplifying x2 + 4x2 + -20x + 25 = 2x2 Reorder the terms: 25 + -20x + x2 + 4x2 = 2x2 Combine like terms: x2 + 4x2 = 5x2 25 + -20x + 5x2 = 2x2 Solving 25 + -20x + 5x2 = 2x2 Solving for variable 'x'. Combine like terms: 5x2 + -2x2 = 3x2 25 + -20x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 25 + -20x + 3x2 = 0 Factor a trinomial. (5 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 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 = {1.666666667, 5}
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