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Simplifying x2 + 46x + 529 = 0 Reorder the terms: 529 + 46x + x2 = 0 Solving 529 + 46x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (23 + x)(23 + x) = 0Subproblem 1
Set the factor '(23 + x)' equal to zero and attempt to solve: Simplifying 23 + x = 0 Solving 23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + x = 0 + -23 x = 0 + -23 Combine like terms: 0 + -23 = -23 x = -23 Simplifying x = -23Subproblem 2
Set the factor '(23 + x)' equal to zero and attempt to solve: Simplifying 23 + x = 0 Solving 23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + x = 0 + -23 x = 0 + -23 Combine like terms: 0 + -23 = -23 x = -23 Simplifying x = -23Solution
x = {-23, -23}
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