(4r-5t^2)(4r-5t^2)=

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Solution for (4r-5t^2)(4r-5t^2)= equation: 


Simplifying
(4r + -5t2)(4r + -5t2) = 0

Multiply (4r + -5t2) * (4r + -5t2)
(4r * (4r + -5t2) + -5t2 * (4r + -5t2)) = 0
((4r * 4r + -5t2 * 4r) + -5t2 * (4r + -5t2)) = 0

Reorder the terms:
((-20rt2 + 16r2) + -5t2 * (4r + -5t2)) = 0
((-20rt2 + 16r2) + -5t2 * (4r + -5t2)) = 0
(-20rt2 + 16r2 + (4r * -5t2 + -5t2 * -5t2)) = 0
(-20rt2 + 16r2 + (-20rt2 + 25t4)) = 0

Reorder the terms:
(-20rt2 + -20rt2 + 16r2 + 25t4) = 0

Combine like terms: -20rt2 + -20rt2 = -40rt2
(-40rt2 + 16r2 + 25t4) = 0

Solving
-40rt2 + 16r2 + 25t4 = 0

Solving for variable 'r'.

Factor a trinomial.
(4r + -5t2)(4r + -5t2) = 0


Subproblem 1
Set the factor '(4r + -5t2)' equal to zero and attempt to solve:

Simplifying
4r + -5t2 = 0

Solving
4r + -5t2 = 0

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

Add '5t2' to each side of the equation.
4r + -5t2 + 5t2 = 0 + 5t2

Combine like terms: -5t2 + 5t2 = 0
4r + 0 = 0 + 5t2
4r = 0 + 5t2
Remove the zero:
4r = 5t2

Divide each side by '4'.
r = 1.25t2

Simplifying
r = 1.25t2

Subproblem 2
Set the factor '(4r + -5t2)' equal to zero and attempt to solve:

Simplifying
4r + -5t2 = 0

Solving
4r + -5t2 = 0

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

Add '5t2' to each side of the equation.
4r + -5t2 + 5t2 = 0 + 5t2

Combine like terms: -5t2 + 5t2 = 0
4r + 0 = 0 + 5t2
4r = 0 + 5t2
Remove the zero:
4r = 5t2

Divide each side by '4'.
r = 1.25t2

Simplifying
r = 1.25t2
Solution
r = {1.25t2, 1.25t2}

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