4r^2+56=-39r

Simple and best practice solution for 4r^2+56=-39r 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 4r^2+56=-39r equation:


Simplifying
4r2 + 56 = -39r

Reorder the terms:
56 + 4r2 = -39r

Solving
56 + 4r2 = -39r

Solving for variable 'r'.

Reorder the terms:
56 + 39r + 4r2 = -39r + 39r

Combine like terms: -39r + 39r = 0
56 + 39r + 4r2 = 0

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

Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 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 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 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:

| 5a=520 | | 5x=5641 | | x*x*x*x*x=5641 | | 1km=1000m | | (5x-7)*2=25x*2-70x+49 | | m^2-4m-20=0 | | x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x+x=500*x | | 2x-4(x-1)=-4 | | x+1+x+2+x+3+x+4+x+5=10y | | 7a+3-4a=6 | | 4m+2=2*(m+1) | | 5x-7=3x+10 | | 5(x-2)=3x+4 | | 24x*12=15x*20 | | e=5c-3d | | 1x+2y=300 | | x+5*2=10 | | x*1+x*2+x*3+x*4=1500 | | x+x+x+x+x+x+x=574 | | 2*(5x+4)=5*(x+1) | | 9+12x=12x+7 | | 2x*(5x+4)=5*(x+1) | | 20x+14=2x+56 | | y+10=4x+13 | | 11-10x=99-38x | | 8t-7=3t+9 | | 7d(d-3)=0 | | 3(r-2)=5(r+4) | | -2q+3=8q-7 | | 2(3+e)=e+5 | | 48X=12X^3 | | 0=48X-12X^3 |

Equations solver categories