(2x^2-3)(x^2-12)=

Solution for (2x^2-3)(x^2-12)= equation:

Simplifying
(2x2 + -3)(x2 + -12) = 0

Reorder the terms:
(-3 + 2x2)(x2 + -12) = 0

Reorder the terms:
(-3 + 2x2)(-12 + x2) = 0

Multiply (-3 + 2x2) * (-12 + x2)
(-3(-12 + x2) + 2x2 * (-12 + x2)) = 0
((-12 * -3 + x2 * -3) + 2x2 * (-12 + x2)) = 0
((36 + -3x2) + 2x2 * (-12 + x2)) = 0
(36 + -3x2 + (-12 * 2x2 + x2 * 2x2)) = 0
(36 + -3x2 + (-24x2 + 2x4)) = 0

Combine like terms: -3x2 + -24x2 = -27x2
(36 + -27x2 + 2x4) = 0

Solving
36 + -27x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -2x2)(12 + -1x2) = 0

Subproblem 1
Set the factor '(3 + -2x2)' equal to zero and attempt to solve:

Simplifying
3 + -2x2 = 0

Solving
3 + -2x2 = 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 + -2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = 0 + -3
-2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x2 = -3

Divide each side by '-2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}
Subproblem 2
Set the factor '(12 + -1x2)' equal to zero and attempt to solve:

Simplifying
12 + -1x2 = 0

Solving
12 + -1x2 = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x2 = 0 + -12
-1x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-1x2 = -12

Divide each side by '-1'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}
Solution
x = {-1.224744871, 1.224744871, -3.464101615, 3.464101615}