x^4-10z^2+9=0

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Solution for x^4-10z^2+9=0 equation:


Simplifying
x4 + -10z2 + 9 = 0

Reorder the terms:
9 + x4 + -10z2 = 0

Solving
9 + x4 + -10z2 = 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 + -10z2 = 0 + -9

Reorder the terms:
9 + -9 + x4 + -10z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x4 + -10z2 = 0 + -9
x4 + -10z2 = 0 + -9

Combine like terms: 0 + -9 = -9
x4 + -10z2 = -9

Add '10z2' to each side of the equation.
x4 + -10z2 + 10z2 = -9 + 10z2

Combine like terms: -10z2 + 10z2 = 0
x4 + 0 = -9 + 10z2
x4 = -9 + 10z2

Simplifying
x4 = -9 + 10z2

Reorder the terms:
9 + x4 + -10z2 = -9 + 10z2 + 9 + -10z2

Reorder the terms:
9 + x4 + -10z2 = -9 + 9 + 10z2 + -10z2

Combine like terms: -9 + 9 = 0
9 + x4 + -10z2 = 0 + 10z2 + -10z2
9 + x4 + -10z2 = 10z2 + -10z2

Combine like terms: 10z2 + -10z2 = 0
9 + x4 + -10z2 = 0

Factor a trinomial.
(x2 + -1z)(x2 + 10z) = 0

Subproblem 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 + 10z)' equal to zero and attempt to solve: Simplifying x2 + 10z = 0 Solving x2 + 10z = 0 Move all terms containing x to the left, all other terms to the right. Add '-10z' to each side of the equation. x2 + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 x2 + 0 = 0 + -10z x2 = 0 + -10z Remove the zero: x2 = -10z Simplifying x2 = -10z 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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