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Simplifying (x2 + -4)(9 + -1x2) = 0 Reorder the terms: (-4 + x2)(9 + -1x2) = 0 Multiply (-4 + x2) * (9 + -1x2) (-4(9 + -1x2) + x2(9 + -1x2)) = 0 ((9 * -4 + -1x2 * -4) + x2(9 + -1x2)) = 0 ((-36 + 4x2) + x2(9 + -1x2)) = 0 (-36 + 4x2 + (9 * x2 + -1x2 * x2)) = 0 (-36 + 4x2 + (9x2 + -1x4)) = 0 Combine like terms: 4x2 + 9x2 = 13x2 (-36 + 13x2 + -1x4) = 0 Solving -36 + 13x2 + -1x4 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + x2)(4 + -1x2) = 0 Factor a difference between two squares. ((3 + x)(-3 + x))(4 + -1x2) = 0 Factor a difference between two squares. ((2 + x)(2 + -1x))(3 + x)(-3 + x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 4
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 = {-3, 3, -2, 2}
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