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Simplifying x2 + 25000x + 100000000 = 0 Reorder the terms: 100000000 + 25000x + x2 = 0 Solving 100000000 + 25000x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (20000 + x)(5000 + x) = 0Subproblem 1
Set the factor '(20000 + x)' equal to zero and attempt to solve: Simplifying 20000 + x = 0 Solving 20000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20000' to each side of the equation. 20000 + -20000 + x = 0 + -20000 Combine like terms: 20000 + -20000 = 0 0 + x = 0 + -20000 x = 0 + -20000 Combine like terms: 0 + -20000 = -20000 x = -20000 Simplifying x = -20000Subproblem 2
Set the factor '(5000 + x)' equal to zero and attempt to solve: Simplifying 5000 + x = 0 Solving 5000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5000' to each side of the equation. 5000 + -5000 + x = 0 + -5000 Combine like terms: 5000 + -5000 = 0 0 + x = 0 + -5000 x = 0 + -5000 Combine like terms: 0 + -5000 = -5000 x = -5000 Simplifying x = -5000Solution
x = {-20000, -5000}
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