34x^4-27x^2=0

Solution for 34x^4-27x^2=0 equation:

Simplifying
34x4 + -27x2 = 0

Reorder the terms:
-27x2 + 34x4 = 0

Solving
-27x2 + 34x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-27 + 34x2) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-27 + 34x2)' equal to zero and attempt to solve:

Simplifying
-27 + 34x2 = 0

Solving
-27 + 34x2 = 0

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

Add '27' to each side of the equation.
-27 + 27 + 34x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 34x2 = 0 + 27
34x2 = 0 + 27

Combine like terms: 0 + 27 = 27
34x2 = 27

Divide each side by '34'.
x2 = 0.7941176471

Simplifying
x2 = 0.7941176471

Take the square root of each side:
x = {-0.891132789, 0.891132789}
Solution
x = {0, -0.891132789, 0.891132789}