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Simplifying (x + -3)(x + -3) + -5 = 4 Reorder the terms: (-3 + x)(x + -3) + -5 = 4 Reorder the terms: (-3 + x)(-3 + x) + -5 = 4 Multiply (-3 + x) * (-3 + x) (-3(-3 + x) + x(-3 + x)) + -5 = 4 ((-3 * -3 + x * -3) + x(-3 + x)) + -5 = 4 ((9 + -3x) + x(-3 + x)) + -5 = 4 (9 + -3x + (-3 * x + x * x)) + -5 = 4 (9 + -3x + (-3x + x2)) + -5 = 4 Combine like terms: -3x + -3x = -6x (9 + -6x + x2) + -5 = 4 Reorder the terms: 9 + -5 + -6x + x2 = 4 Combine like terms: 9 + -5 = 4 4 + -6x + x2 = 4 Add '-4' to each side of the equation. 4 + -6x + -4 + x2 = 4 + -4 Reorder the terms: 4 + -4 + -6x + x2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -6x + x2 = 4 + -4 -6x + x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -6x + x2 = 0 Solving -6x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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