(7x^2+6)(2x^2-4)=

Solution for (7x^2+6)(2x^2-4)= equation:

Simplifying
(7x2 + 6)(2x2 + -4) = 0

Reorder the terms:
(6 + 7x2)(2x2 + -4) = 0

Reorder the terms:
(6 + 7x2)(-4 + 2x2) = 0

Multiply (6 + 7x2) * (-4 + 2x2)
(6(-4 + 2x2) + 7x2 * (-4 + 2x2)) = 0
((-4 * 6 + 2x2 * 6) + 7x2 * (-4 + 2x2)) = 0
((-24 + 12x2) + 7x2 * (-4 + 2x2)) = 0
(-24 + 12x2 + (-4 * 7x2 + 2x2 * 7x2)) = 0
(-24 + 12x2 + (-28x2 + 14x4)) = 0

Combine like terms: 12x2 + -28x2 = -16x2
(-24 + -16x2 + 14x4) = 0

Solving
-24 + -16x2 + 14x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -8x2 + 7x4) = 0

Factor a trinomial.
2((-6 + -7x2)(2 + -1x2)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -7x2)' equal to zero and attempt to solve:

Simplifying
-6 + -7x2 = 0

Solving
-6 + -7x2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7x2 = 0 + 6
-7x2 = 0 + 6

Combine like terms: 0 + 6 = 6
-7x2 = 6

Divide each side by '-7'.
x2 = -0.8571428571

Simplifying
x2 = -0.8571428571

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 '(2 + -1x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x2 = 0

Solving
2 + -1x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x2 = 0 + -2

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

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

Divide each side by '-1'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}
Solution
x = {-1.414213562, 1.414213562}