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Simplifying 441 = x2 + 40x Reorder the terms: 441 = 40x + x2 Solving 441 = 40x + x2 Solving for variable 'x'. Reorder the terms: 441 + -40x + -1x2 = 40x + -40x + x2 + -1x2 Combine like terms: 40x + -40x = 0 441 + -40x + -1x2 = 0 + x2 + -1x2 441 + -40x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 441 + -40x + -1x2 = 0 Factor a trinomial. (9 + -1x)(49 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 49 + x = 0 Solving 49 + x = 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 + x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x = 0 + -49 x = 0 + -49 Combine like terms: 0 + -49 = -49 x = -49 Simplifying x = -49Solution
x = {9, -49}
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