X^4+3=4x^2

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


Simplifying
X4 + 3 = 4x2

Reorder the terms:
3 + X4 = 4x2

Solving
3 + X4 = 4x2

Solving for variable 'X'.

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

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

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

Simplifying
X4 = -3 + 4x2

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

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

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

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

Factor a trinomial.
(X2 + -1x)(X2 + 4x) = 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 + 4x)' equal to zero and attempt to solve: Simplifying X2 + 4x = 0 Solving X2 + 4x = 0 Move all terms containing X to the left, all other terms to the right. Add '-4x' to each side of the equation. X2 + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 X2 + 0 = 0 + -4x X2 = 0 + -4x Remove the zero: X2 = -4x Simplifying X2 = -4x 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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