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Simplifying -10x = x2 + 25 Reorder the terms: -10x = 25 + x2 Solving -10x = 25 + x2 Solving for variable 'x'. Reorder the terms: -25 + -10x + -1x2 = 25 + x2 + -25 + -1x2 Reorder the terms: -25 + -10x + -1x2 = 25 + -25 + x2 + -1x2 Combine like terms: 25 + -25 = 0 -25 + -10x + -1x2 = 0 + x2 + -1x2 -25 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 + -10x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 10x + x2) = 0 Factor a trinomial. -1((5 + x)(5 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-5, -5}
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