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Simplifying x2 + 110x + 3025 = 0 Reorder the terms: 3025 + 110x + x2 = 0 Solving 3025 + 110x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (55 + x)(55 + x) = 0Subproblem 1
Set the factor '(55 + x)' equal to zero and attempt to solve: Simplifying 55 + x = 0 Solving 55 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + x = 0 + -55 x = 0 + -55 Combine like terms: 0 + -55 = -55 x = -55 Simplifying x = -55Subproblem 2
Set the factor '(55 + x)' equal to zero and attempt to solve: Simplifying 55 + x = 0 Solving 55 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + x = 0 + -55 x = 0 + -55 Combine like terms: 0 + -55 = -55 x = -55 Simplifying x = -55Solution
x = {-55, -55}
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