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Simplifying (x + -3)(x + -3) + -1 = 0 Reorder the terms: (-3 + x)(x + -3) + -1 = 0 Reorder the terms: (-3 + x)(-3 + x) + -1 = 0 Multiply (-3 + x) * (-3 + x) (-3(-3 + x) + x(-3 + x)) + -1 = 0 ((-3 * -3 + x * -3) + x(-3 + x)) + -1 = 0 ((9 + -3x) + x(-3 + x)) + -1 = 0 (9 + -3x + (-3 * x + x * x)) + -1 = 0 (9 + -3x + (-3x + x2)) + -1 = 0 Combine like terms: -3x + -3x = -6x (9 + -6x + x2) + -1 = 0 Reorder the terms: 9 + -1 + -6x + x2 = 0 Combine like terms: 9 + -1 = 8 8 + -6x + x2 = 0 Solving 8 + -6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {2, 4}
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