(1r+8)(8r-14)=0

Simple and best practice solution for (1r+8)(8r-14)=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 (1r+8)(8r-14)=0 equation: 


Simplifying
(1r + 8)(8r + -14) = 0

Reorder the terms:
(8 + 1r)(8r + -14) = 0

Reorder the terms:
(8 + 1r)(-14 + 8r) = 0

Multiply (8 + 1r) * (-14 + 8r)
(8(-14 + 8r) + 1r * (-14 + 8r)) = 0
((-14 * 8 + 8r * 8) + 1r * (-14 + 8r)) = 0
((-112 + 64r) + 1r * (-14 + 8r)) = 0
(-112 + 64r + (-14 * 1r + 8r * 1r)) = 0
(-112 + 64r + (-14r + 8r2)) = 0

Combine like terms: 64r + -14r = 50r
(-112 + 50r + 8r2) = 0

Solving
-112 + 50r + 8r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-56 + 25r + 4r2) = 0

Factor a trinomial.
2((-8 + -1r)(7 + -4r)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -1r)' equal to zero and attempt to solve:

Simplifying
-8 + -1r = 0

Solving
-8 + -1r = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1r = 0 + 8
-1r = 0 + 8

Combine like terms: 0 + 8 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8

Subproblem 2
Set the factor '(7 + -4r)' equal to zero and attempt to solve:

Simplifying
7 + -4r = 0

Solving
7 + -4r = 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 + -4r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4r = 0 + -7
-4r = 0 + -7

Combine like terms: 0 + -7 = -7
-4r = -7

Divide each side by '-4'.
r = 1.75

Simplifying
r = 1.75
Solution
r = {-8, 1.75}

See similar equations:

| 2h+6=15 | | 4x+5.50y=92 | | -28x+56=-28x-56 | | 16+4=16 | | -56x+56=-28x-56 | | 6+11r-3=8r+27-3r | | 0.17n=1.01 | | -2x+50=-2x-50 | | Tan(x+45)=8tanx | | log[4]x+3+log[4]x=log[4]65 | | 2x+50=-2x-2 | | log[4]x+3-log[4]x=log[4]65 | | -1/10a=0 | | c+12=16 | | 8x^2+30x+28=0 | | 83x+38=83x-38 | | 83x-166=83x+166 | | M=5X+7x-15 | | -2+6x=-5+5x | | 83x+83=83x-83 | | X^3-6x^2+8x-48= | | m+18=-112 | | 45x-20x^3=O | | 1x/3=2 | | -6x-7+3x= | | 6+3(x+8)-4x+4= | | 2.1=2.2x-6.7 | | 4n+28= | | 2x+1/6+5x/4=3-x/2 | | 6+3x+8-4x+4= | | 1.3x+0.5=1.6X-0.3 | | 33x-28=72-17x |

Equations solver categories