12(x^4)-20(x^2)-9(x^2)+15=

Solution for 12(x^4)-20(x^2)-9(x^2)+15= equation:

Simplifying
12(x4) + -20(x2) + -9(x2) + 15 = 0

Reorder the terms:
15 + -20x2 + -9x2 + 12x4 = 0

Combine like terms: -20x2 + -9x2 = -29x2
15 + -29x2 + 12x4 = 0

Solving
15 + -29x2 + 12x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x2)(5 + -3x2) = 0

Subproblem 1
Set the factor '(3 + -4x2)' equal to zero and attempt to solve:

Simplifying
3 + -4x2 = 0

Solving
3 + -4x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x2 = 0 + -3
-4x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-4x2 = -3

Divide each side by '-4'.
x2 = 0.75

Simplifying
x2 = 0.75

Take the square root of each side:
x = {-0.866025404, 0.866025404}
Subproblem 2
Set the factor '(5 + -3x2)' equal to zero and attempt to solve:

Simplifying
5 + -3x2 = 0

Solving
5 + -3x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x2 = 0 + -5
-3x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3x2 = -5

Divide each side by '-3'.
x2 = 1.666666667

Simplifying
x2 = 1.666666667

Take the square root of each side:
x = {-1.290994449, 1.290994449}
Solution
x = {-0.866025404, 0.866025404, -1.290994449, 1.290994449}