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Simplifying (x2 + -4x + 4) + (x2 + -32x + 256) = x2 Reorder the terms: (4 + -4x + x2) + (x2 + -32x + 256) = x2 Remove parenthesis around (4 + -4x + x2) 4 + -4x + x2 + (x2 + -32x + 256) = x2 Reorder the terms: 4 + -4x + x2 + (256 + -32x + x2) = x2 Remove parenthesis around (256 + -32x + x2) 4 + -4x + x2 + 256 + -32x + x2 = x2 Reorder the terms: 4 + 256 + -4x + -32x + x2 + x2 = x2 Combine like terms: 4 + 256 = 260 260 + -4x + -32x + x2 + x2 = x2 Combine like terms: -4x + -32x = -36x 260 + -36x + x2 + x2 = x2 Combine like terms: x2 + x2 = 2x2 260 + -36x + 2x2 = x2 Solving 260 + -36x + 2x2 = x2 Solving for variable 'x'. Combine like terms: 2x2 + -1x2 = 1x2 260 + -36x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 260 + -36x + 1x2 = 0 Factor a trinomial. (10 + -1x)(26 + -1x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26Solution
x = {10, 26}
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