(11r+5)(6r-7)=0

Simple and best practice solution for (11r+5)(6r-7)=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 (11r+5)(6r-7)=0 equation: 


Simplifying
(11r + 5)(6r + -7) = 0

Reorder the terms:
(5 + 11r)(6r + -7) = 0

Reorder the terms:
(5 + 11r)(-7 + 6r) = 0

Multiply (5 + 11r) * (-7 + 6r)
(5(-7 + 6r) + 11r * (-7 + 6r)) = 0
((-7 * 5 + 6r * 5) + 11r * (-7 + 6r)) = 0
((-35 + 30r) + 11r * (-7 + 6r)) = 0
(-35 + 30r + (-7 * 11r + 6r * 11r)) = 0
(-35 + 30r + (-77r + 66r2)) = 0

Combine like terms: 30r + -77r = -47r
(-35 + -47r + 66r2) = 0

Solving
-35 + -47r + 66r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-5 + -11r)(7 + -6r) = 0


Subproblem 1
Set the factor '(-5 + -11r)' equal to zero and attempt to solve:

Simplifying
-5 + -11r = 0

Solving
-5 + -11r = 0

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

Add '5' to each side of the equation.
-5 + 5 + -11r = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11r = 0 + 5
-11r = 0 + 5

Combine like terms: 0 + 5 = 5
-11r = 5

Divide each side by '-11'.
r = -0.4545454545

Simplifying
r = -0.4545454545

Subproblem 2
Set the factor '(7 + -6r)' equal to zero and attempt to solve:

Simplifying
7 + -6r = 0

Solving
7 + -6r = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6r = 0 + -7
-6r = 0 + -7

Combine like terms: 0 + -7 = -7
-6r = -7

Divide each side by '-6'.
r = 1.166666667

Simplifying
r = 1.166666667
Solution
r = {-0.4545454545, 1.166666667}

See similar equations:

| 3(x-a)+2(x+a)=a | | 8(4x-3)=64 | | 3x+19=4x+7 | | x+1=y+10 | | 4.1x-5.4-5.7x=-0.6x-5.4 | | 27-112= | | 10x+7=x+97 | | 2x-5x+6=-64 | | -5(3x+5)=-13y+-32 | | 8*14= | | 5x-8-3x=3x-4 | | 6p+3=5p+6 | | 5(x-a)=2(x+m) | | x-1=9x-17 | | 9x+5=-5+6x+25 | | -(m-13)=-13m+1 | | 9p+7=8p+15 | | 36.9=3.7x-14.9 | | 11.6+3x=-16.9 | | x-2=4x+2 | | -9-5=8x+2-7x | | y-8/3=-7 | | 7(-7n-13)=-n-43 | | 6-8x-3=63+3x-11 | | 3x=-96 | | x(1-2x)=3(x-5) | | xy+3xy= | | 6x-5=3x+43 | | (12a+7)(5a-8)=0 | | n-13n= | | -4(6-3x)=20x | | -5-(-10)= |

Equations solver categories