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

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


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

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

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

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

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

Solving
16a6 + -25b4 = 0

Solving for variable 'a'.

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

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

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