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Simplifying (x + -2)(x + 3) + x2 + -4 = 0 Reorder the terms: (-2 + x)(x + 3) + x2 + -4 = 0 Reorder the terms: (-2 + x)(3 + x) + x2 + -4 = 0 Multiply (-2 + x) * (3 + x) (-2(3 + x) + x(3 + x)) + x2 + -4 = 0 ((3 * -2 + x * -2) + x(3 + x)) + x2 + -4 = 0 ((-6 + -2x) + x(3 + x)) + x2 + -4 = 0 (-6 + -2x + (3 * x + x * x)) + x2 + -4 = 0 (-6 + -2x + (3x + x2)) + x2 + -4 = 0 Combine like terms: -2x + 3x = 1x (-6 + 1x + x2) + x2 + -4 = 0 Reorder the terms: -6 + -4 + 1x + x2 + x2 = 0 Combine like terms: -6 + -4 = -10 -10 + 1x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -10 + 1x + 2x2 = 0 Solving -10 + 1x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
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 = 2Solution
x = {-2.5, 2}
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