10x^4-14x^2=0

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Solution for 10x^4-14x^2=0 equation: 


Simplifying
10x4 + -14x2 = 0

Reorder the terms:
-14x2 + 10x4 = 0

Solving
-14x2 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-7 + 5x2) = 0

Ignore the factor 2.

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 '(-7 + 5x2)' equal to zero and attempt to solve:

Simplifying
-7 + 5x2 = 0

Solving
-7 + 5x2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + 5x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5x2 = 0 + 7
5x2 = 0 + 7

Combine like terms: 0 + 7 = 7
5x2 = 7

Divide each side by '5'.
x2 = 1.4

Simplifying
x2 = 1.4

Take the square root of each side:
x = {-1.183215957, 1.183215957}
Solution
x = {0, -1.183215957, 1.183215957}

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