(x^2-8)(7x^2+6)=0

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Solution for (x^2-8)(7x^2+6)=0 equation: 


Simplifying
(x2 + -8)(7x2 + 6) = 0

Reorder the terms:
(-8 + x2)(7x2 + 6) = 0

Reorder the terms:
(-8 + x2)(6 + 7x2) = 0

Multiply (-8 + x2) * (6 + 7x2)
(-8(6 + 7x2) + x2(6 + 7x2)) = 0
((6 * -8 + 7x2 * -8) + x2(6 + 7x2)) = 0
((-48 + -56x2) + x2(6 + 7x2)) = 0
(-48 + -56x2 + (6 * x2 + 7x2 * x2)) = 0
(-48 + -56x2 + (6x2 + 7x4)) = 0

Combine like terms: -56x2 + 6x2 = -50x2
(-48 + -50x2 + 7x4) = 0

Solving
-48 + -50x2 + 7x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -7x2)(8 + -1x2) = 0


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 '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}
Solution
x = {-2.828427125, 2.828427125}

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