(3r-8)(7r+4)=0

Simple and best practice solution for (3r-8)(7r+4)=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 (3r-8)(7r+4)=0 equation: 


Simplifying
(3r + -8)(7r + 4) = 0

Reorder the terms:
(-8 + 3r)(7r + 4) = 0

Reorder the terms:
(-8 + 3r)(4 + 7r) = 0

Multiply (-8 + 3r) * (4 + 7r)
(-8(4 + 7r) + 3r * (4 + 7r)) = 0
((4 * -8 + 7r * -8) + 3r * (4 + 7r)) = 0
((-32 + -56r) + 3r * (4 + 7r)) = 0
(-32 + -56r + (4 * 3r + 7r * 3r)) = 0
(-32 + -56r + (12r + 21r2)) = 0

Combine like terms: -56r + 12r = -44r
(-32 + -44r + 21r2) = 0

Solving
-32 + -44r + 21r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-4 + -7r)(8 + -3r) = 0


Subproblem 1
Set the factor '(-4 + -7r)' equal to zero and attempt to solve:

Simplifying
-4 + -7r = 0

Solving
-4 + -7r = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7r = 0 + 4

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

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

Divide each side by '-7'.
r = -0.5714285714

Simplifying
r = -0.5714285714

Subproblem 2
Set the factor '(8 + -3r)' equal to zero and attempt to solve:

Simplifying
8 + -3r = 0

Solving
8 + -3r = 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 + -3r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3r = 0 + -8
-3r = 0 + -8

Combine like terms: 0 + -8 = -8
-3r = -8

Divide each side by '-3'.
r = 2.666666667

Simplifying
r = 2.666666667
Solution
r = {-0.5714285714, 2.666666667}

See similar equations:

| 32x^2-18x=0 | | 5(3-c/7)=8+1+2/3c | | 75x^2-27=0 | | X+2/X+8=X-2/X+4 | | n+-8=25 | | 550x+17615= | | c/5-15=-8 | | x^2-62x+61=0 | | 13x+3=15x-7 | | (8+8i)+(10-7i)= | | 5x-5=25y | | x^3-6x^2-247x+1020=0 | | 35+4(x-3)=7x-12 | | (2a/5b)(3b/8) | | 31=4-9v | | (3y/y+3)+(9/y)+3=(27/y^2+3y) | | 2(v+2)=2v+20 | | -16x^2+350x+40=500 | | 5x+8=7x-8 | | 3(n+1)=n+19 | | 3(x)+4(y)=75000 | | X=2/5y | | 43x-4=77 | | 0.05x-1.82=0.708x-0.504 | | 1/3(6y-9)=13-2y | | 5(x+9)=2x+15 | | a/(-4)+14=20 | | 4(2y+1)-5=-10(y-5) | | 10(z+1)-3(z-3)=3(z-3)+3(z-3) | | 9x/8-x=x/40-2/5 | | 2x+6=4x+5-1 | | 24k+132=24k+144 |

Equations solver categories