12x^4+37x^2-10=0

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Solution for 12x^4+37x^2-10=0 equation: 


Simplifying
12x4 + 37x2 + -10 = 0

Reorder the terms:
-10 + 37x2 + 12x4 = 0

Solving
-10 + 37x2 + 12x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -3x2)(1 + -4x2) = 0

Factor a difference between two squares.
(-10 + -3x2)((1 + 2x)(1 + -2x)) = 0


Subproblem 1
Set the factor '(-10 + -3x2)' equal to zero and attempt to solve:

Simplifying
-10 + -3x2 = 0

Solving
-10 + -3x2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x2 = 0 + 10
-3x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-3x2 = 10

Divide each side by '-3'.
x2 = -3.333333333

Simplifying
x2 = -3.333333333

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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.5, 0.5}

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