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Simplifying 0 = 4x2 + -20x + 25 + -1x + -8 Reorder the terms: 0 = 25 + -8 + -20x + -1x + 4x2 Combine like terms: 25 + -8 = 17 0 = 17 + -20x + -1x + 4x2 Combine like terms: -20x + -1x = -21x 0 = 17 + -21x + 4x2 Solving 0 = 17 + -21x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -17 = -17 -17 + 21x + -4x2 = 17 + -21x + 4x2 + -17 + 21x + -4x2 Reorder the terms: -17 + 21x + -4x2 = 17 + -17 + -21x + 21x + 4x2 + -4x2 Combine like terms: 17 + -17 = 0 -17 + 21x + -4x2 = 0 + -21x + 21x + 4x2 + -4x2 -17 + 21x + -4x2 = -21x + 21x + 4x2 + -4x2 Combine like terms: -21x + 21x = 0 -17 + 21x + -4x2 = 0 + 4x2 + -4x2 -17 + 21x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -17 + 21x + -4x2 = 0 Factor a trinomial. (-17 + 4x)(1 + -1x) = 0Subproblem 1
Set the factor '(-17 + 4x)' equal to zero and attempt to solve: Simplifying -17 + 4x = 0 Solving -17 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 0 + 17 4x = 0 + 17 Combine like terms: 0 + 17 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25Subproblem 2
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 = 1Solution
x = {4.25, 1}
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