(6r+4s)(6r+4s)=

Simple and best practice solution for (6r+4s)(6r+4s)= 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 (6r+4s)(6r+4s)= equation:


Simplifying
(6r + 4s)(6r + 4s) = 0

Multiply (6r + 4s) * (6r + 4s)
(6r * (6r + 4s) + 4s * (6r + 4s)) = 0
((6r * 6r + 4s * 6r) + 4s * (6r + 4s)) = 0

Reorder the terms:
((24rs + 36r2) + 4s * (6r + 4s)) = 0
((24rs + 36r2) + 4s * (6r + 4s)) = 0
(24rs + 36r2 + (6r * 4s + 4s * 4s)) = 0
(24rs + 36r2 + (24rs + 16s2)) = 0

Reorder the terms:
(24rs + 24rs + 36r2 + 16s2) = 0

Combine like terms: 24rs + 24rs = 48rs
(48rs + 36r2 + 16s2) = 0

Solving
48rs + 36r2 + 16s2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4'.
4(12rs + 9r2 + 4s2) = 0

Factor a trinomial.
4((3r + 2s)(3r + 2s)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(3r + 2s)' equal to zero and attempt to solve: Simplifying 3r + 2s = 0 Solving 3r + 2s = 0 Move all terms containing r to the left, all other terms to the right. Add '-2s' to each side of the equation. 3r + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 3r + 0 = 0 + -2s 3r = 0 + -2s Remove the zero: 3r = -2s Divide each side by '3'. r = -0.6666666667s Simplifying r = -0.6666666667s

Subproblem 2

Set the factor '(3r + 2s)' equal to zero and attempt to solve: Simplifying 3r + 2s = 0 Solving 3r + 2s = 0 Move all terms containing r to the left, all other terms to the right. Add '-2s' to each side of the equation. 3r + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 3r + 0 = 0 + -2s 3r = 0 + -2s Remove the zero: 3r = -2s Divide each side by '3'. r = -0.6666666667s Simplifying r = -0.6666666667s

Solution

r = {-0.6666666667s, -0.6666666667s}

See similar equations:

| 10r^2-19r=56 | | 7x+5(4x+18)=-99 | | 3p^2+7=-22p | | y=x^2-14x+20 | | =7a+3a-4 | | (x+3)+25=46 | | 2(-3+5n)-9(-6n-4)= | | A=sqrt(5/CB) | | 9m^4n^2-16=0 | | sqrt(x+4)+2=x | | 3/x=2/y-1/z | | -3+2(4-7)= | | V/14-v/49=1/14 | | 6x^2+11xy+4y^2= | | 1.2x^2-7/6x=1 | | y=1/6x^3 | | 4y-9+y=26+2y-4y | | 3(2-5)+4= | | 8y-3x=20 | | 4y-9+y=26+2y+4y | | -9n-6+12n+40=22 | | 8x-3+5x+1= | | X(2x+8)=240 | | X^2=-16+16x | | (5a+17)(4a)= | | 5+19-x=8 | | 5+19+x=8 | | C=xy^9/t | | 8p=-4-4p | | 5(x-2)-2(3x+1)-4(1-2x)+x= | | -2x+12=-36 | | 6(-2z+5)=19z+16 |

Equations solver categories