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Simplifying x4 + -6z2 + 5 = 0 Reorder the terms: 5 + x4 + -6z2 = 0 Solving 5 + x4 + -6z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + x4 + -5 + -6z2 = 0 + -5 Reorder the terms: 5 + -5 + x4 + -6z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x4 + -6z2 = 0 + -5 x4 + -6z2 = 0 + -5 Combine like terms: 0 + -5 = -5 x4 + -6z2 = -5 Add '6z2' to each side of the equation. x4 + -6z2 + 6z2 = -5 + 6z2 Combine like terms: -6z2 + 6z2 = 0 x4 + 0 = -5 + 6z2 x4 = -5 + 6z2 Simplifying x4 = -5 + 6z2 Reorder the terms: 5 + x4 + -6z2 = -5 + 6z2 + 5 + -6z2 Reorder the terms: 5 + x4 + -6z2 = -5 + 5 + 6z2 + -6z2 Combine like terms: -5 + 5 = 0 5 + x4 + -6z2 = 0 + 6z2 + -6z2 5 + x4 + -6z2 = 6z2 + -6z2 Combine like terms: 6z2 + -6z2 = 0 5 + x4 + -6z2 = 0 Factor a trinomial. (x2 + -1z)(x2 + 6z) = 0Subproblem 1
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.Subproblem 2
Set the factor '(x2 + 6z)' equal to zero and attempt to solve: Simplifying x2 + 6z = 0 Solving x2 + 6z = 0 Move all terms containing x to the left, all other terms to the right. Add '-6z' to each side of the equation. x2 + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 x2 + 0 = 0 + -6z x2 = 0 + -6z Remove the zero: x2 = -6z Simplifying x2 = -6z 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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