(2x*x-1)*(3x*x+5)=

Solution for (2x*x-1)*(3x*x+5)= equation:

Simplifying
(2x * x + -1)(3x * x + 5) = 0

Multiply x * x
(2x2 + -1)(3x * x + 5) = 0

Reorder the terms:
(-1 + 2x2)(3x * x + 5) = 0

Multiply x * x
(-1 + 2x2)(3x2 + 5) = 0

Reorder the terms:
(-1 + 2x2)(5 + 3x2) = 0

Multiply (-1 + 2x2) * (5 + 3x2)
(-1(5 + 3x2) + 2x2 * (5 + 3x2)) = 0
((5 * -1 + 3x2 * -1) + 2x2 * (5 + 3x2)) = 0
((-5 + -3x2) + 2x2 * (5 + 3x2)) = 0
(-5 + -3x2 + (5 * 2x2 + 3x2 * 2x2)) = 0
(-5 + -3x2 + (10x2 + 6x4)) = 0

Combine like terms: -3x2 + 10x2 = 7x2
(-5 + 7x2 + 6x4) = 0

Solving
-5 + 7x2 + 6x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x2)(1 + -2x2) = 0

Subproblem 1
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

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 + -2x2)' equal to zero and attempt to solve:

Simplifying
1 + -2x2 = 0

Solving
1 + -2x2 = 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 + -2x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x2 = 0 + -1
-2x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2x2 = -1

Divide each side by '-2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}
Solution
x = {-0.707106781, 0.707106781}