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Simplifying (x2 + -4)(x2 + 9) = 0 Reorder the terms: (-4 + x2)(x2 + 9) = 0 Reorder the terms: (-4 + x2)(9 + x2) = 0 Multiply (-4 + x2) * (9 + x2) (-4(9 + x2) + x2(9 + x2)) = 0 ((9 * -4 + x2 * -4) + x2(9 + x2)) = 0 ((-36 + -4x2) + x2(9 + x2)) = 0 (-36 + -4x2 + (9 * x2 + x2 * x2)) = 0 (-36 + -4x2 + (9x2 + x4)) = 0 Combine like terms: -4x2 + 9x2 = 5x2 (-36 + 5x2 + x4) = 0 Solving -36 + 5x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x2)(4 + -1x2) = 0 Factor a difference between two squares. (-9 + -1x2)((2 + x)(2 + -1x)) = 0Subproblem 1
Set the factor '(-9 + -1x2)' equal to zero and attempt to solve: Simplifying -9 + -1x2 = 0 Solving -9 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x2 = 0 + 9 -1x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1x2 = 9 Divide each side by '-1'. x2 = -9 Simplifying x2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
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 3
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, 2}
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