8(r-7)(r-2)=0

Simple and best practice solution for 8(r-7)(r-2)=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 8(r-7)(r-2)=0 equation: 


Simplifying
8(r + -7)(r + -2) = 0

Reorder the terms:
8(-7 + r)(r + -2) = 0

Reorder the terms:
8(-7 + r)(-2 + r) = 0

Multiply (-7 + r) * (-2 + r)
8(-7(-2 + r) + r(-2 + r)) = 0
8((-2 * -7 + r * -7) + r(-2 + r)) = 0
8((14 + -7r) + r(-2 + r)) = 0
8(14 + -7r + (-2 * r + r * r)) = 0
8(14 + -7r + (-2r + r2)) = 0

Combine like terms: -7r + -2r = -9r
8(14 + -9r + r2) = 0
(14 * 8 + -9r * 8 + r2 * 8) = 0
(112 + -72r + 8r2) = 0

Solving
112 + -72r + 8r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '8'.
8(14 + -9r + r2) = 0

Factor a trinomial.
8((2 + -1r)(7 + -1r)) = 0

Ignore the factor 8.

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

Simplifying
2 + -1r = 0

Solving
2 + -1r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2

Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 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 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {2, 7}

See similar equations:

| 3w=w(7-w) | | x+7=2+6.3 | | 10(3x-10)+80=100 | | 14x+5=61 | | 810(pi)=324(pi)+(pi)18h | | 2x+25=145 | | 12x+(12-2)=12+11x | | 8x+11=51 | | 6x+8=74 | | 8x+15=63 | | c(c+5)=0 | | u^2-2u-24=0 | | 186-2x=34x+22 | | 6x+9=3x-21 | | .20x+60=.40(x+120) | | 5=9-7x | | 3x+2(3)=91.50 | | -3*0+7= | | 14-8x=47-29x | | 5*0+7= | | 20-x-4x=10 | | 3.2d+1.5d=42.3 | | 4x+16=68 | | 30x+24=-45x-6 | | p^2-8p+15=0 | | (-12y)-2y= | | 7-(-18)= | | 5.7(x-4)=-0.3x+19.2 | | 3x+10x=5x | | 8x^2+26x+15=0 | | 15.25=2.5d+1.5 | | x-4y-2=0 |

Equations solver categories