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