2(x^2-49)(x^2+64)=0

Solution for 2(x^2-49)(x^2+64)=0 equation:

Simplifying
2(x2 + -49)(x2 + 64) = 0

Reorder the terms:
2(-49 + x2)(x2 + 64) = 0

Reorder the terms:
2(-49 + x2)(64 + x2) = 0

Multiply (-49 + x2) * (64 + x2)
2(-49(64 + x2) + x2(64 + x2)) = 0
2((64 * -49 + x2 * -49) + x2(64 + x2)) = 0
2((-3136 + -49x2) + x2(64 + x2)) = 0
2(-3136 + -49x2 + (64 * x2 + x2 * x2)) = 0
2(-3136 + -49x2 + (64x2 + x4)) = 0

Combine like terms: -49x2 + 64x2 = 15x2
2(-3136 + 15x2 + x4) = 0
(-3136 * 2 + 15x2 * 2 + x4 * 2) = 0
(-6272 + 30x2 + 2x4) = 0

Solving
-6272 + 30x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3136 + 15x2 + x4) = 0

Factor a trinomial.
2((-64 + -1x2)(49 + -1x2)) = 0

Factor a difference between two squares.
2((-64 + -1x2)((7 + x)(7 + -1x))) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-64 + -1x2)' equal to zero and attempt to solve:

Simplifying
-64 + -1x2 = 0

Solving
-64 + -1x2 = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1x2 = 0 + 64
-1x2 = 0 + 64

Combine like terms: 0 + 64 = 64
-1x2 = 64

Divide each side by '-1'.
x2 = -64

Simplifying
x2 = -64

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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-7, 7}