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Simplifying 0 = x4 + -29x2 + -252 Reorder the terms: 0 = -252 + -29x2 + x4 Solving 0 = -252 + -29x2 + x4 Solving for variable 'x'. Combine like terms: 0 + 252 = 252 252 + 29x2 + -1x4 = -252 + -29x2 + x4 + 252 + 29x2 + -1x4 Reorder the terms: 252 + 29x2 + -1x4 = -252 + 252 + -29x2 + 29x2 + x4 + -1x4 Combine like terms: -252 + 252 = 0 252 + 29x2 + -1x4 = 0 + -29x2 + 29x2 + x4 + -1x4 252 + 29x2 + -1x4 = -29x2 + 29x2 + x4 + -1x4 Combine like terms: -29x2 + 29x2 = 0 252 + 29x2 + -1x4 = 0 + x4 + -1x4 252 + 29x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 252 + 29x2 + -1x4 = 0 Factor a trinomial. (36 + -1x2)(7 + x2) = 0 Factor a difference between two squares. ((6 + x)(6 + -1x))(7 + x2) = 0Subproblem 1
Set the factor '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-6, 6}
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