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Simplifying (x2 + 25)(x2 + -9) = 0 Reorder the terms: (25 + x2)(x2 + -9) = 0 Reorder the terms: (25 + x2)(-9 + x2) = 0 Multiply (25 + x2) * (-9 + x2) (25(-9 + x2) + x2(-9 + x2)) = 0 ((-9 * 25 + x2 * 25) + x2(-9 + x2)) = 0 ((-225 + 25x2) + x2(-9 + x2)) = 0 (-225 + 25x2 + (-9 * x2 + x2 * x2)) = 0 (-225 + 25x2 + (-9x2 + x4)) = 0 Combine like terms: 25x2 + -9x2 = 16x2 (-225 + 16x2 + x4) = 0 Solving -225 + 16x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -1x2)(9 + -1x2) = 0 Factor a difference between two squares. (-25 + -1x2)((3 + x)(3 + -1x)) = 0Subproblem 1
Set the factor '(-25 + -1x2)' equal to zero and attempt to solve: Simplifying -25 + -1x2 = 0 Solving -25 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x2 = 0 + 25 -1x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -1x2 = 25 Divide each side by '-1'. x2 = -25 Simplifying x2 = -25 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 '(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 '(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 = {-3, 3}
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