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Simplifying 100 = 21x + x2 Solving 100 = 21x + x2 Solving for variable 'x'. Reorder the terms: 100 + -21x + -1x2 = 21x + -21x + x2 + -1x2 Combine like terms: 21x + -21x = 0 100 + -21x + -1x2 = 0 + x2 + -1x2 100 + -21x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + -21x + -1x2 = 0 Factor a trinomial. (4 + -1x)(25 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
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 = -25Solution
x = {4, -25}
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