(2r-5)(6r+7)=

Simple and best practice solution for (2r-5)(6r+7)= 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 (2r-5)(6r+7)= equation: 


Simplifying
(2r + -5)(6r + 7) = 0

Reorder the terms:
(-5 + 2r)(6r + 7) = 0

Reorder the terms:
(-5 + 2r)(7 + 6r) = 0

Multiply (-5 + 2r) * (7 + 6r)
(-5(7 + 6r) + 2r * (7 + 6r)) = 0
((7 * -5 + 6r * -5) + 2r * (7 + 6r)) = 0
((-35 + -30r) + 2r * (7 + 6r)) = 0
(-35 + -30r + (7 * 2r + 6r * 2r)) = 0
(-35 + -30r + (14r + 12r2)) = 0

Combine like terms: -30r + 14r = -16r
(-35 + -16r + 12r2) = 0

Solving
-35 + -16r + 12r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-7 + -6r)(5 + -2r) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -2r)' equal to zero and attempt to solve:

Simplifying
5 + -2r = 0

Solving
5 + -2r = 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 + -2r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2r = 0 + -5
-2r = 0 + -5

Combine like terms: 0 + -5 = -5
-2r = -5

Divide each side by '-2'.
r = 2.5

Simplifying
r = 2.5
Solution
r = {-1.166666667, 2.5}

See similar equations:

| M+7.3=19 | | 3a^2+7a-32=-6 | | x+3/6=8/3 | | 5x^3+50x^2-375x=0 | | 6(8)+4(13)= | | 6t=47 | | 2n^2+n-59=-3 | | 9-6(u-1)=u+15 | | 10=2c+3+5c | | -15+5=20 | | 4(10+5x)=160 | | 23GV=kV | | 4(8)+6(13)= | | 2a^2+10a-27=-2 | | x^3-5x^2-1x+5=0 | | 9x-12(2x+4)= | | 69x=24 | | 2-a-4= | | 7=2x-3x+1 | | 5x^2-3x-58=-5 | | 3y=2(4y-6) | | 6=3t-36 | | 2-6m+2(3-m)=5(m-3)-3 | | r^4-11r^3+30r^2=0 | | 6=3+-36 | | 2x^3=30 | | 4g-6-4=3 | | 9x-5y=-14 | | 3y=5(4y-6) | | -7(6+7x)=448 | | 22=3n+7 | | x=.4(2a-b)+.66(a+2b) |

Equations solver categories