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Simplifying 0 = x2 + -41x + 400 Reorder the terms: 0 = 400 + -41x + x2 Solving 0 = 400 + -41x + x2 Solving for variable 'x'. Combine like terms: 0 + -400 = -400 -400 + 41x + -1x2 = 400 + -41x + x2 + -400 + 41x + -1x2 Reorder the terms: -400 + 41x + -1x2 = 400 + -400 + -41x + 41x + x2 + -1x2 Combine like terms: 400 + -400 = 0 -400 + 41x + -1x2 = 0 + -41x + 41x + x2 + -1x2 -400 + 41x + -1x2 = -41x + 41x + x2 + -1x2 Combine like terms: -41x + 41x = 0 -400 + 41x + -1x2 = 0 + x2 + -1x2 -400 + 41x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -400 + 41x + -1x2 = 0 Factor a trinomial. (-25 + x)(16 + -1x) = 0Subproblem 1
Set the factor '(-25 + x)' equal to zero and attempt to solve: Simplifying -25 + x = 0 Solving -25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x = 0 + 25 x = 0 + 25 Combine like terms: 0 + 25 = 25 x = 25 Simplifying x = 25Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {25, 16}
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