(8x^2-7)(8x^2-7)=

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


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

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

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

Multiply (-7 + 8x2) * (-7 + 8x2)
(-7(-7 + 8x2) + 8x2 * (-7 + 8x2)) = 0
((-7 * -7 + 8x2 * -7) + 8x2 * (-7 + 8x2)) = 0
((49 + -56x2) + 8x2 * (-7 + 8x2)) = 0
(49 + -56x2 + (-7 * 8x2 + 8x2 * 8x2)) = 0
(49 + -56x2 + (-56x2 + 64x4)) = 0

Combine like terms: -56x2 + -56x2 = -112x2
(49 + -112x2 + 64x4) = 0

Solving
49 + -112x2 + 64x4 = 0

Solving for variable 'x'.

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


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

Simplifying
7 + -8x2 = 0

Solving
7 + -8x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x2 = 0 + -7

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

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

Divide each side by '-8'.
x2 = 0.875

Simplifying
x2 = 0.875

Take the square root of each side:
x = {-0.935414347, 0.935414347}

Subproblem 2
Set the factor '(7 + -8x2)' equal to zero and attempt to solve:

Simplifying
7 + -8x2 = 0

Solving
7 + -8x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x2 = 0 + -7

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

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

Divide each side by '-8'.
x2 = 0.875

Simplifying
x2 = 0.875

Take the square root of each side:
x = {-0.935414347, 0.935414347}
Solution
x = {-0.935414347, 0.935414347, -0.935414347, 0.935414347}

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