(5x^2+7)(5x^2-7)=0

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Solution for (5x^2+7)(5x^2-7)=0 equation: 


Simplifying
(5x2 + 7)(5x2 + -7) = 0

Reorder the terms:
(7 + 5x2)(5x2 + -7) = 0

Reorder the terms:
(7 + 5x2)(-7 + 5x2) = 0

Multiply (7 + 5x2) * (-7 + 5x2)
(7(-7 + 5x2) + 5x2 * (-7 + 5x2)) = 0
((-7 * 7 + 5x2 * 7) + 5x2 * (-7 + 5x2)) = 0
((-49 + 35x2) + 5x2 * (-7 + 5x2)) = 0
(-49 + 35x2 + (-7 * 5x2 + 5x2 * 5x2)) = 0
(-49 + 35x2 + (-35x2 + 25x4)) = 0

Combine like terms: 35x2 + -35x2 = 0
(-49 + 0 + 25x4) = 0
(-49 + 25x4) = 0

Solving
-49 + 25x4 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 25x4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 25x4 = 0 + 49
25x4 = 0 + 49

Combine like terms: 0 + 49 = 49
25x4 = 49

Divide each side by '25'.
x4 = 1.96

Simplifying
x4 = 1.96

Reorder the terms:
-1.96 + x4 = 1.96 + -1.96

Combine like terms: 1.96 + -1.96 = 0.00
-1.96 + x4 = 0.00

Factor a difference between two squares.
(1.4 + x2)(-1.4 + x2) = 0.00


Subproblem 1
Set the factor '(1.4 + x2)' equal to zero and attempt to solve:

Simplifying
1.4 + x2 = 0

Solving
1.4 + x2 = 0

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + x2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + x2 = 0 + -1.4
x2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
x2 = -1.4

Simplifying
x2 = -1.4

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 '(-1.4 + x2)' equal to zero and attempt to solve:

Simplifying
-1.4 + x2 = 0

Solving
-1.4 + x2 = 0

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

Add '1.4' to each side of the equation.
-1.4 + 1.4 + x2 = 0 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + x2 = 0 + 1.4
x2 = 0 + 1.4

Combine like terms: 0 + 1.4 = 1.4
x2 = 1.4

Simplifying
x2 = 1.4

Take the square root of each side:
x = {-1.183215957, 1.183215957}
Solution
x = {-1.183215957, 1.183215957}

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