=(4a^3-5b^2)(4a^3+5b^2)

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Solution for =(4a^3-5b^2)(4a^3+5b^2) equation: 


Simplifying
0 = (4a3 + -5b2)(4a3 + 5b2)

Multiply (4a3 + -5b2) * (4a3 + 5b2)
0 = (4a3 * (4a3 + 5b2) + -5b2 * (4a3 + 5b2))
0 = ((4a3 * 4a3 + 5b2 * 4a3) + -5b2 * (4a3 + 5b2))

Reorder the terms:
0 = ((20a3b2 + 16a6) + -5b2 * (4a3 + 5b2))
0 = ((20a3b2 + 16a6) + -5b2 * (4a3 + 5b2))
0 = (20a3b2 + 16a6 + (4a3 * -5b2 + 5b2 * -5b2))
0 = (20a3b2 + 16a6 + (-20a3b2 + -25b4))

Reorder the terms:
0 = (20a3b2 + -20a3b2 + 16a6 + -25b4)

Combine like terms: 20a3b2 + -20a3b2 = 0
0 = (0 + 16a6 + -25b4)
0 = (16a6 + -25b4)

Solving
0 = 16a6 + -25b4

Solving for variable 'a'.

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

Add '-16a6' to each side of the equation.
0 + -16a6 = 16a6 + -16a6 + -25b4
Remove the zero:
-16a6 = 16a6 + -16a6 + -25b4

Combine like terms: 16a6 + -16a6 = 0
-16a6 = 0 + -25b4
-16a6 = -25b4

Divide each side by '-16'.
a6 = 1.5625b4

Simplifying
a6 = 1.5625b4

Combine like terms: 1.5625b4 + -1.5625b4 = 0.0000
a6 + -1.5625b4 = 0.0000

Factor a difference between two squares.
(a3 + 1.25b2)(a3 + -1.25b2) = 0.0000


Subproblem 1
Set the factor '(a3 + 1.25b2)' equal to zero and attempt to solve:

Simplifying
a3 + 1.25b2 = 0

Solving
a3 + 1.25b2 = 0

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

Add '-1.25b2' to each side of the equation.
a3 + 1.25b2 + -1.25b2 = 0 + -1.25b2

Combine like terms: 1.25b2 + -1.25b2 = 0.00
a3 + 0.00 = 0 + -1.25b2
a3 = 0 + -1.25b2
Remove the zero:
a3 = -1.25b2

Simplifying
a3 = -1.25b2

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 '(a3 + -1.25b2)' equal to zero and attempt to solve:

Simplifying
a3 + -1.25b2 = 0

Solving
a3 + -1.25b2 = 0

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

Add '1.25b2' to each side of the equation.
a3 + -1.25b2 + 1.25b2 = 0 + 1.25b2

Combine like terms: -1.25b2 + 1.25b2 = 0.00
a3 + 0.00 = 0 + 1.25b2
a3 = 0 + 1.25b2
Remove the zero:
a3 = 1.25b2

Simplifying
a3 = 1.25b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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