16q^4-25r^2=

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Solution for 16q^4-25r^2= equation: 


Simplifying
16q4 + -25r2 = 0

Solving
16q4 + -25r2 = 0

Solving for variable 'q'.

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

Add '25r2' to each side of the equation.
16q4 + -25r2 + 25r2 = 0 + 25r2

Combine like terms: -25r2 + 25r2 = 0
16q4 + 0 = 0 + 25r2
16q4 = 0 + 25r2
Remove the zero:
16q4 = 25r2

Divide each side by '16'.
q4 = 1.5625r2

Simplifying
q4 = 1.5625r2

Combine like terms: 1.5625r2 + -1.5625r2 = 0.0000
q4 + -1.5625r2 = 0.0000

Factor a difference between two squares.
(q2 + 1.25r)(q2 + -1.25r) = 0.0000


Subproblem 1
Set the factor '(q2 + 1.25r)' equal to zero and attempt to solve:

Simplifying
q2 + 1.25r = 0

Solving
q2 + 1.25r = 0

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

Add '-1.25r' to each side of the equation.
q2 + 1.25r + -1.25r = 0 + -1.25r

Combine like terms: 1.25r + -1.25r = 0.00
q2 + 0.00 = 0 + -1.25r
q2 = 0 + -1.25r
Remove the zero:
q2 = -1.25r

Simplifying
q2 = -1.25r

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 '(q2 + -1.25r)' equal to zero and attempt to solve:

Simplifying
q2 + -1.25r = 0

Solving
q2 + -1.25r = 0

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

Add '1.25r' to each side of the equation.
q2 + -1.25r + 1.25r = 0 + 1.25r

Combine like terms: -1.25r + 1.25r = 0.00
q2 + 0.00 = 0 + 1.25r
q2 = 0 + 1.25r
Remove the zero:
q2 = 1.25r

Simplifying
q2 = 1.25r

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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