X^4-4=-3x^2

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Solution for X^4-4=-3x^2 equation:


Simplifying
X4 + -4 = -3x2

Reorder the terms:
-4 + X4 = -3x2

Solving
-4 + X4 = -3x2

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 4 + X4 = 4 + -3x2

Combine like terms: -4 + 4 = 0
0 + X4 = 4 + -3x2
X4 = 4 + -3x2

Simplifying
X4 = 4 + -3x2

Reorder the terms:
-4 + X4 + 3x2 = 4 + -3x2 + -4 + 3x2

Reorder the terms:
-4 + X4 + 3x2 = 4 + -4 + -3x2 + 3x2

Combine like terms: 4 + -4 = 0
-4 + X4 + 3x2 = 0 + -3x2 + 3x2
-4 + X4 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-4 + X4 + 3x2 = 0

Factor a trinomial.
(X2 + -3x)(X2 + -1x) = 0

Subproblem 1

Set the factor '(X2 + -3x)' equal to zero and attempt to solve: Simplifying X2 + -3x = 0 Solving X2 + -3x = 0 Move all terms containing X to the left, all other terms to the right. Add '3x' to each side of the equation. X2 + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 X2 + 0 = 0 + 3x X2 = 0 + 3x Remove the zero: X2 = 3x Simplifying X2 = 3x 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 + -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. The solution to this equation could not be determined.

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