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Simplifying (x + -3)(x + -3) + -4 = 0 Reorder the terms: (-3 + x)(x + -3) + -4 = 0 Reorder the terms: (-3 + x)(-3 + x) + -4 = 0 Multiply (-3 + x) * (-3 + x) (-3(-3 + x) + x(-3 + x)) + -4 = 0 ((-3 * -3 + x * -3) + x(-3 + x)) + -4 = 0 ((9 + -3x) + x(-3 + x)) + -4 = 0 (9 + -3x + (-3 * x + x * x)) + -4 = 0 (9 + -3x + (-3x + x2)) + -4 = 0 Combine like terms: -3x + -3x = -6x (9 + -6x + x2) + -4 = 0 Reorder the terms: 9 + -4 + -6x + x2 = 0 Combine like terms: 9 + -4 = 5 5 + -6x + x2 = 0 Solving 5 + -6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1, 5}
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