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

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


Simplifying
(2a2 + -5b)(2a2 + 5b) = 0

Multiply (2a2 + -5b) * (2a2 + 5b)
(2a2 * (2a2 + 5b) + -5b * (2a2 + 5b)) = 0
((2a2 * 2a2 + 5b * 2a2) + -5b * (2a2 + 5b)) = 0

Reorder the terms:
((10a2b + 4a4) + -5b * (2a2 + 5b)) = 0
((10a2b + 4a4) + -5b * (2a2 + 5b)) = 0
(10a2b + 4a4 + (2a2 * -5b + 5b * -5b)) = 0
(10a2b + 4a4 + (-10a2b + -25b2)) = 0

Reorder the terms:
(10a2b + -10a2b + 4a4 + -25b2) = 0

Combine like terms: 10a2b + -10a2b = 0
(0 + 4a4 + -25b2) = 0
(4a4 + -25b2) = 0

Solving
4a4 + -25b2 = 0

Solving for variable 'a'.

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

Add '25b2' to each side of the equation.
4a4 + -25b2 + 25b2 = 0 + 25b2

Combine like terms: -25b2 + 25b2 = 0
4a4 + 0 = 0 + 25b2
4a4 = 0 + 25b2
Remove the zero:
4a4 = 25b2

Divide each side by '4'.
a4 = 6.25b2

Simplifying
a4 = 6.25b2

Combine like terms: 6.25b2 + -6.25b2 = 0.00
a4 + -6.25b2 = 0.00

Factor a difference between two squares.
(a2 + 2.5b)(a2 + -2.5b) = 0.00


Subproblem 1
Set the factor '(a2 + 2.5b)' equal to zero and attempt to solve:

Simplifying
a2 + 2.5b = 0

Solving
a2 + 2.5b = 0

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

Add '-2.5b' to each side of the equation.
a2 + 2.5b + -2.5b = 0 + -2.5b

Combine like terms: 2.5b + -2.5b = 0.0
a2 + 0.0 = 0 + -2.5b
a2 = 0 + -2.5b
Remove the zero:
a2 = -2.5b

Simplifying
a2 = -2.5b

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 '(a2 + -2.5b)' equal to zero and attempt to solve:

Simplifying
a2 + -2.5b = 0

Solving
a2 + -2.5b = 0

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

Add '2.5b' to each side of the equation.
a2 + -2.5b + 2.5b = 0 + 2.5b

Combine like terms: -2.5b + 2.5b = 0.0
a2 + 0.0 = 0 + 2.5b
a2 = 0 + 2.5b
Remove the zero:
a2 = 2.5b

Simplifying
a2 = 2.5b

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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