X^4-10x^2+7=-2

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Solution for X^4-10x^2+7=-2 equation:


Simplifying
X4 + -10x2 + 7 = -2

Reorder the terms:
7 + X4 + -10x2 = -2

Solving
7 + X4 + -10x2 = -2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + X4 + -7 + -10x2 = -2 + -7

Reorder the terms:
7 + -7 + X4 + -10x2 = -2 + -7

Combine like terms: 7 + -7 = 0
0 + X4 + -10x2 = -2 + -7
X4 + -10x2 = -2 + -7

Combine like terms: -2 + -7 = -9
X4 + -10x2 = -9

Add '10x2' to each side of the equation.
X4 + -10x2 + 10x2 = -9 + 10x2

Combine like terms: -10x2 + 10x2 = 0
X4 + 0 = -9 + 10x2
X4 = -9 + 10x2

Simplifying
X4 = -9 + 10x2

Reorder the terms:
9 + X4 + -10x2 = -9 + 10x2 + 9 + -10x2

Reorder the terms:
9 + X4 + -10x2 = -9 + 9 + 10x2 + -10x2

Combine like terms: -9 + 9 = 0
9 + X4 + -10x2 = 0 + 10x2 + -10x2
9 + X4 + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
9 + X4 + -10x2 = 0

Factor a trinomial.
(X2 + -1x)(X2 + 10x) = 0

Subproblem 1

Set the factor '(X2 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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 + 10x)' equal to zero and attempt to solve: Simplifying X2 + 10x = 0 Solving X2 + 10x = 0 Move all terms containing X to the left, all other terms to the right. Add '-10x' to each side of the equation. X2 + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 X2 + 0 = 0 + -10x X2 = 0 + -10x Remove the zero: X2 = -10x Simplifying X2 = -10x 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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