4q^4-9r^2=

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Solution for 4q^4-9r^2= equation: 


Simplifying
4q4 + -9r2 = 0

Solving
4q4 + -9r2 = 0

Solving for variable 'q'.

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

Add '9r2' to each side of the equation.
4q4 + -9r2 + 9r2 = 0 + 9r2

Combine like terms: -9r2 + 9r2 = 0
4q4 + 0 = 0 + 9r2
4q4 = 0 + 9r2
Remove the zero:
4q4 = 9r2

Divide each side by '4'.
q4 = 2.25r2

Simplifying
q4 = 2.25r2

Combine like terms: 2.25r2 + -2.25r2 = 0.00
q4 + -2.25r2 = 0.00

Factor a difference between two squares.
(q2 + 1.5r)(q2 + -1.5r) = 0.00


Subproblem 1
Set the factor '(q2 + 1.5r)' equal to zero and attempt to solve:

Simplifying
q2 + 1.5r = 0

Solving
q2 + 1.5r = 0

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

Add '-1.5r' to each side of the equation.
q2 + 1.5r + -1.5r = 0 + -1.5r

Combine like terms: 1.5r + -1.5r = 0.0
q2 + 0.0 = 0 + -1.5r
q2 = 0 + -1.5r
Remove the zero:
q2 = -1.5r

Simplifying
q2 = -1.5r

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 + -1.5r)' equal to zero and attempt to solve:

Simplifying
q2 + -1.5r = 0

Solving
q2 + -1.5r = 0

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

Add '1.5r' to each side of the equation.
q2 + -1.5r + 1.5r = 0 + 1.5r

Combine like terms: -1.5r + 1.5r = 0.0
q2 + 0.0 = 0 + 1.5r
q2 = 0 + 1.5r
Remove the zero:
q2 = 1.5r

Simplifying
q2 = 1.5r

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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