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Simplifying (x2 + 5)(x2 + -5) = 56 Reorder the terms: (5 + x2)(x2 + -5) = 56 Reorder the terms: (5 + x2)(-5 + x2) = 56 Multiply (5 + x2) * (-5 + x2) (5(-5 + x2) + x2(-5 + x2)) = 56 ((-5 * 5 + x2 * 5) + x2(-5 + x2)) = 56 ((-25 + 5x2) + x2(-5 + x2)) = 56 (-25 + 5x2 + (-5 * x2 + x2 * x2)) = 56 (-25 + 5x2 + (-5x2 + x4)) = 56 Combine like terms: 5x2 + -5x2 = 0 (-25 + 0 + x4) = 56 (-25 + x4) = 56 Solving -25 + x4 = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x4 = 56 + 25 Combine like terms: -25 + 25 = 0 0 + x4 = 56 + 25 x4 = 56 + 25 Combine like terms: 56 + 25 = 81 x4 = 81 Simplifying x4 = 81 Reorder the terms: -81 + x4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + x4 = 0 Factor a difference between two squares. (9 + x2)(-9 + x2) = 0 Factor a difference between two squares. (9 + x2)((3 + x)(-3 + x)) = 0Subproblem 1
Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 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 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 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 '(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 + 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 = 3Solution
x = {-3, 3}
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