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Simplifying x2 + 20000x + 100000000 = 0 Reorder the terms: 100000000 + 20000x + x2 = 0 Solving 100000000 + 20000x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10000 + x)(10000 + x) = 0Subproblem 1
Set the factor '(10000 + x)' equal to zero and attempt to solve: Simplifying 10000 + x = 0 Solving 10000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10000' to each side of the equation. 10000 + -10000 + x = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + x = 0 + -10000 x = 0 + -10000 Combine like terms: 0 + -10000 = -10000 x = -10000 Simplifying x = -10000Subproblem 2
Set the factor '(10000 + x)' equal to zero and attempt to solve: Simplifying 10000 + x = 0 Solving 10000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10000' to each side of the equation. 10000 + -10000 + x = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + x = 0 + -10000 x = 0 + -10000 Combine like terms: 0 + -10000 = -10000 x = -10000 Simplifying x = -10000Solution
x = {-10000, -10000}
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