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Simplifying (x + -3)(x + 3) + (x + -3)(x + 8) = 0 Reorder the terms: (-3 + x)(x + 3) + (x + -3)(x + 8) = 0 Reorder the terms: (-3 + x)(3 + x) + (x + -3)(x + 8) = 0 Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) + (x + -3)(x + 8) = 0 ((3 * -3 + x * -3) + x(3 + x)) + (x + -3)(x + 8) = 0 ((-9 + -3x) + x(3 + x)) + (x + -3)(x + 8) = 0 (-9 + -3x + (3 * x + x * x)) + (x + -3)(x + 8) = 0 (-9 + -3x + (3x + x2)) + (x + -3)(x + 8) = 0 Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) + (x + -3)(x + 8) = 0 (-9 + x2) + (x + -3)(x + 8) = 0 Reorder the terms: -9 + x2 + (-3 + x)(x + 8) = 0 Reorder the terms: -9 + x2 + (-3 + x)(8 + x) = 0 Multiply (-3 + x) * (8 + x) -9 + x2 + (-3(8 + x) + x(8 + x)) = 0 -9 + x2 + ((8 * -3 + x * -3) + x(8 + x)) = 0 -9 + x2 + ((-24 + -3x) + x(8 + x)) = 0 -9 + x2 + (-24 + -3x + (8 * x + x * x)) = 0 -9 + x2 + (-24 + -3x + (8x + x2)) = 0 Combine like terms: -3x + 8x = 5x -9 + x2 + (-24 + 5x + x2) = 0 Reorder the terms: -9 + -24 + 5x + x2 + x2 = 0 Combine like terms: -9 + -24 = -33 -33 + 5x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -33 + 5x + 2x2 = 0 Solving -33 + 5x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-5.5, 3}
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