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Simplifying 2500 + 100x + x2 = 0 Solving 2500 + 100x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (50 + x)(50 + x) = 0Subproblem 1
Set the factor '(50 + x)' equal to zero and attempt to solve: Simplifying 50 + x = 0 Solving 50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + x = 0 + -50 x = 0 + -50 Combine like terms: 0 + -50 = -50 x = -50 Simplifying x = -50Subproblem 2
Set the factor '(50 + x)' equal to zero and attempt to solve: Simplifying 50 + x = 0 Solving 50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + x = 0 + -50 x = 0 + -50 Combine like terms: 0 + -50 = -50 x = -50 Simplifying x = -50Solution
x = {-50, -50}
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