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Simplifying x4 + 8z2 + -9 = 0 Reorder the terms: -9 + x4 + 8z2 = 0 Solving -9 + x4 + 8z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + x4 + 9 + 8z2 = 0 + 9 Reorder the terms: -9 + 9 + x4 + 8z2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x4 + 8z2 = 0 + 9 x4 + 8z2 = 0 + 9 Combine like terms: 0 + 9 = 9 x4 + 8z2 = 9 Add '-8z2' to each side of the equation. x4 + 8z2 + -8z2 = 9 + -8z2 Combine like terms: 8z2 + -8z2 = 0 x4 + 0 = 9 + -8z2 x4 = 9 + -8z2 Simplifying x4 = 9 + -8z2 Reorder the terms: -9 + x4 + 8z2 = 9 + -8z2 + -9 + 8z2 Reorder the terms: -9 + x4 + 8z2 = 9 + -9 + -8z2 + 8z2 Combine like terms: 9 + -9 = 0 -9 + x4 + 8z2 = 0 + -8z2 + 8z2 -9 + x4 + 8z2 = -8z2 + 8z2 Combine like terms: -8z2 + 8z2 = 0 -9 + x4 + 8z2 = 0 Factor a trinomial. (x2 + -8z)(x2 + -1z) = 0Subproblem 1
Set the factor '(x2 + -8z)' equal to zero and attempt to solve: Simplifying x2 + -8z = 0 Solving x2 + -8z = 0 Move all terms containing x to the left, all other terms to the right. Add '8z' to each side of the equation. x2 + -8z + 8z = 0 + 8z Combine like terms: -8z + 8z = 0 x2 + 0 = 0 + 8z x2 = 0 + 8z Remove the zero: x2 = 8z Simplifying x2 = 8z 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 '(x2 + -1z)' equal to zero and attempt to solve: Simplifying x2 + -1z = 0 Solving x2 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add 'z' to each side of the equation. x2 + -1z + z = 0 + z Combine like terms: -1z + z = 0 x2 + 0 = 0 + z x2 = 0 + z Remove the zero: x2 = z Simplifying x2 = z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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