(3x^2-5)(6x^2+5)=

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Solution for (3x^2-5)(6x^2+5)= equation: 


Simplifying
(3x2 + -5)(6x2 + 5) = 0

Reorder the terms:
(-5 + 3x2)(6x2 + 5) = 0

Reorder the terms:
(-5 + 3x2)(5 + 6x2) = 0

Multiply (-5 + 3x2) * (5 + 6x2)
(-5(5 + 6x2) + 3x2 * (5 + 6x2)) = 0
((5 * -5 + 6x2 * -5) + 3x2 * (5 + 6x2)) = 0
((-25 + -30x2) + 3x2 * (5 + 6x2)) = 0
(-25 + -30x2 + (5 * 3x2 + 6x2 * 3x2)) = 0
(-25 + -30x2 + (15x2 + 18x4)) = 0

Combine like terms: -30x2 + 15x2 = -15x2
(-25 + -15x2 + 18x4) = 0

Solving
-25 + -15x2 + 18x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6x2)(5 + -3x2) = 0


Subproblem 1
Set the factor '(-5 + -6x2)' equal to zero and attempt to solve:

Simplifying
-5 + -6x2 = 0

Solving
-5 + -6x2 = 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 + -6x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x2 = 0 + 5
-6x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-6x2 = 5

Divide each side by '-6'.
x2 = -0.8333333333

Simplifying
x2 = -0.8333333333

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 '(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 = {-1.290994449, 1.290994449}

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