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Simplifying (x + -2)(x + -3) + -6 = 0 Reorder the terms: (-2 + x)(x + -3) + -6 = 0 Reorder the terms: (-2 + x)(-3 + x) + -6 = 0 Multiply (-2 + x) * (-3 + x) (-2(-3 + x) + x(-3 + x)) + -6 = 0 ((-3 * -2 + x * -2) + x(-3 + x)) + -6 = 0 ((6 + -2x) + x(-3 + x)) + -6 = 0 (6 + -2x + (-3 * x + x * x)) + -6 = 0 (6 + -2x + (-3x + x2)) + -6 = 0 Combine like terms: -2x + -3x = -5x (6 + -5x + x2) + -6 = 0 Reorder the terms: 6 + -6 + -5x + x2 = 0 Combine like terms: 6 + -6 = 0 0 + -5x + x2 = 0 -5x + x2 = 0 Solving -5x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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