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Simplifying 4x2 + -85x + 441 = 0 Reorder the terms: 441 + -85x + 4x2 = 0 Solving 441 + -85x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(49 + -4x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(49 + -4x)' equal to zero and attempt to solve: Simplifying 49 + -4x = 0 Solving 49 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -4x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -4x = 0 + -49 -4x = 0 + -49 Combine like terms: 0 + -49 = -49 -4x = -49 Divide each side by '-4'. x = 12.25 Simplifying x = 12.25Solution
x = {9, 12.25}
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