49x^4=7x^2

Solution for 49x^4=7x^2 equation:

Simplifying
49x4 = 7x2

Solving
49x4 = 7x2

Solving for variable 'x'.

Reorder the terms:
-7x2 + 49x4 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x2 + 49x4 = 0

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(-1 + 7x2) = 0

Ignore the factor 7.
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 '(-1 + 7x2)' equal to zero and attempt to solve:

Simplifying
-1 + 7x2 = 0

Solving
-1 + 7x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 7x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7x2 = 0 + 1
7x2 = 0 + 1

Combine like terms: 0 + 1 = 1
7x2 = 1

Divide each side by '7'.
x2 = 0.1428571429

Simplifying
x2 = 0.1428571429

Take the square root of each side:
x = {-0.377964473, 0.377964473}
Solution
x = {0, -0.377964473, 0.377964473}