(7x^2+8)(7x^2-1)=0

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Solution for (7x^2+8)(7x^2-1)=0 equation: 


Simplifying
(7x2 + 8)(7x2 + -1) = 0

Reorder the terms:
(8 + 7x2)(7x2 + -1) = 0

Reorder the terms:
(8 + 7x2)(-1 + 7x2) = 0

Multiply (8 + 7x2) * (-1 + 7x2)
(8(-1 + 7x2) + 7x2 * (-1 + 7x2)) = 0
((-1 * 8 + 7x2 * 8) + 7x2 * (-1 + 7x2)) = 0
((-8 + 56x2) + 7x2 * (-1 + 7x2)) = 0
(-8 + 56x2 + (-1 * 7x2 + 7x2 * 7x2)) = 0
(-8 + 56x2 + (-7x2 + 49x4)) = 0

Combine like terms: 56x2 + -7x2 = 49x2
(-8 + 49x2 + 49x4) = 0

Solving
-8 + 49x2 + 49x4 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-8 + -7x2)' equal to zero and attempt to solve:

Simplifying
-8 + -7x2 = 0

Solving
-8 + -7x2 = 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 + -7x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x2 = 0 + 8
-7x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-7x2 = 8

Divide each side by '-7'.
x2 = -1.142857143

Simplifying
x2 = -1.142857143

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 + -7x2)' equal to zero and attempt to solve:

Simplifying
1 + -7x2 = 0

Solving
1 + -7x2 = 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 + -7x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x2 = 0 + -1
-7x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-7x2 = -1

Divide each side by '-7'.
x2 = 0.1428571429

Simplifying
x2 = 0.1428571429

Take the square root of each side:
x = {-0.377964473, 0.377964473}
Solution
x = {-0.377964473, 0.377964473}

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