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Simplifying (4 + -1x)(4 + -1x) = 36 Multiply (4 + -1x) * (4 + -1x) (4(4 + -1x) + -1x * (4 + -1x)) = 36 ((4 * 4 + -1x * 4) + -1x * (4 + -1x)) = 36 ((16 + -4x) + -1x * (4 + -1x)) = 36 (16 + -4x + (4 * -1x + -1x * -1x)) = 36 (16 + -4x + (-4x + 1x2)) = 36 Combine like terms: -4x + -4x = -8x (16 + -8x + 1x2) = 36 Solving 16 + -8x + 1x2 = 36 Solving for variable 'x'. Reorder the terms: 16 + -36 + -8x + 1x2 = 36 + -36 Combine like terms: 16 + -36 = -20 -20 + -8x + 1x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -20 + -8x + 1x2 = 0 Factor a trinomial. (-2 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
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 = 10Solution
x = {-2, 10}
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