-8r(r-5)=40-8r

Simple and best practice solution for -8r(r-5)=40-8r 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 -8r(r-5)=40-8r equation:


Simplifying
-8r(r + -5) = 40 + -8r

Reorder the terms:
-8r(-5 + r) = 40 + -8r
(-5 * -8r + r * -8r) = 40 + -8r
(40r + -8r2) = 40 + -8r

Solving
40r + -8r2 = 40 + -8r

Solving for variable 'r'.

Reorder the terms:
-40 + 40r + 8r + -8r2 = 40 + -8r + -40 + 8r

Combine like terms: 40r + 8r = 48r
-40 + 48r + -8r2 = 40 + -8r + -40 + 8r

Reorder the terms:
-40 + 48r + -8r2 = 40 + -40 + -8r + 8r

Combine like terms: 40 + -40 = 0
-40 + 48r + -8r2 = 0 + -8r + 8r
-40 + 48r + -8r2 = -8r + 8r

Combine like terms: -8r + 8r = 0
-40 + 48r + -8r2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-5 + 6r + -1r2) = 0

Factor a trinomial.
8((-5 + r)(1 + -1r)) = 0

Ignore the factor 8.

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

Simplifying
-5 + r = 0

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

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

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

Simplifying
r = 5

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

Simplifying
1 + -1r = 0

Solving
1 + -1r = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1r = 0 + -1
-1r = 0 + -1

Combine like terms: 0 + -1 = -1
-1r = -1

Divide each side by '-1'.
r = 1

Simplifying
r = 1
Solution
r = {5, 1}

See similar equations:

| -4(z-7)=12 | | -4z-28=12 | | -6c=-3 | | -6c= -3 | | X+4+x+5+x+10=49 | | 6(x-6)=3(x+3) | | ax^2+3x+5=0 | | 6.5x-6=1 | | 2x+45=6x+13whatisx | | 7x-11+2x-3+5x-2=180 | | -6(a-3)=-5(3a-1)-5 | | 144=4+96x-16x^2 | | -6a(a-3)=-5(3a-1)-5 | | -7.87+.23x=31 | | ax^2-3x+5=0 | | 11x+5=8x+23whatisx | | -7.87+.23x=38.13 | | 3(4x-3)-8=4+2x | | 3v+27=24 | | A-0.3A=95 | | 10w-7w=27 | | 101x=5 | | 5(n-12)-24=3(n+2) | | -8=7h+20 | | -2(y+2)=-16 | | h=-4.9t^2+vt | | 9r+10=118 | | A-0.1A=85 | | 5000+5x=6650 | | -3-2-4= | | 23=2+7x | | -3-2+-4= |

Equations solver categories