4x^4+3x^2-10x^2=0

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Solution for 4x^4+3x^2-10x^2=0 equation: 


Simplifying
4x4 + 3x2 + -10x2 = 0

Reorder the terms:
3x2 + -10x2 + 4x4 = 0

Combine like terms: 3x2 + -10x2 = -7x2
-7x2 + 4x4 = 0

Solving
-7x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-7 + 4x2) = 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 '(-7 + 4x2)' equal to zero and attempt to solve:

Simplifying
-7 + 4x2 = 0

Solving
-7 + 4x2 = 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 + 4x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4x2 = 0 + 7
4x2 = 0 + 7

Combine like terms: 0 + 7 = 7
4x2 = 7

Divide each side by '4'.
x2 = 1.75

Simplifying
x2 = 1.75

Take the square root of each side:
x = {-1.322875656, 1.322875656}
Solution
x = {0, -1.322875656, 1.322875656}

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