(6p-2r)(2r-6p)=0

Simple and best practice solution for (6p-2r)(2r-6p)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (6p-2r)(2r-6p)=0 equation: 


Simplifying
(6p + -2r)(2r + -6p) = 0

Reorder the terms:
(6p + -2r)(-6p + 2r) = 0

Multiply (6p + -2r) * (-6p + 2r)
(6p * (-6p + 2r) + -2r * (-6p + 2r)) = 0
((-6p * 6p + 2r * 6p) + -2r * (-6p + 2r)) = 0

Reorder the terms:
((12pr + -36p2) + -2r * (-6p + 2r)) = 0
((12pr + -36p2) + -2r * (-6p + 2r)) = 0
(12pr + -36p2 + (-6p * -2r + 2r * -2r)) = 0
(12pr + -36p2 + (12pr + -4r2)) = 0

Reorder the terms:
(12pr + 12pr + -36p2 + -4r2) = 0

Combine like terms: 12pr + 12pr = 24pr
(24pr + -36p2 + -4r2) = 0

Solving
24pr + -36p2 + -4r2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6pr + -9p2 + -1r2) = 0

Factor a trinomial.
4((-3p + r)(3p + -1r)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3p + r)' equal to zero and attempt to solve:

Simplifying
-3p + r = 0

Solving
-3p + r = 0

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

Add '-1r' to each side of the equation.
-3p + r + -1r = 0 + -1r

Combine like terms: r + -1r = 0
-3p + 0 = 0 + -1r
-3p = 0 + -1r
Remove the zero:
-3p = -1r

Divide each side by '-3'.
p = 0.3333333333r

Simplifying
p = 0.3333333333r

Subproblem 2
Set the factor '(3p + -1r)' equal to zero and attempt to solve:

Simplifying
3p + -1r = 0

Solving
3p + -1r = 0

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

Add 'r' to each side of the equation.
3p + -1r + r = 0 + r

Combine like terms: -1r + r = 0
3p + 0 = 0 + r
3p = 0 + r
Remove the zero:
3p = r

Divide each side by '3'.
p = 0.3333333333r

Simplifying
p = 0.3333333333r
Solution
p = {0.3333333333r, 0.3333333333r}

See similar equations:

| c=4x+9y | | 3x^2=-x-2 | | -4k+4=-3k-6 | | 19=-3v+16 | | X+3(5x-8)=0 | | 6(-2.3+3.8)=2 | | -4x^2-7x=-12 | | 2L+2[60]=950 | | 2x^2+14=12x | | -3v+17=-4 | | -6x^2+x-9=0 | | -10=-8w+14 | | X=9x(x-7) | | -7w+8=-20 | | z^5*z^6*z^7= | | R=5(k+t) | | 2l+2[70]=750 | | 5(9f-3)=300 | | 5(9f-3)=299 | | -7=-2x-7 | | 5(9f-3)=900 | | 5(9f-3)=190 | | 45000-2.5x=0 | | 2x+99= | | 5(9f-3)=12 | | 5(9f-3)=10 | | 35000-2x=0 | | 5(9f-3)=102 | | x^2-10x+25=100 | | 0=8v+16 | | 5(9f-3)=6 | | 9x-2y=55 |

Equations solver categories