7r^2+12=31r

Simple and best practice solution for 7r^2+12=31r 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 7r^2+12=31r equation:


Simplifying
7r2 + 12 = 31r

Reorder the terms:
12 + 7r2 = 31r

Solving
12 + 7r2 = 31r

Solving for variable 'r'.

Reorder the terms:
12 + -31r + 7r2 = 31r + -31r

Combine like terms: 31r + -31r = 0
12 + -31r + 7r2 = 0

Factor a trinomial.
(3 + -7r)(4 + -1r) = 0

Subproblem 1

Set the factor '(3 + -7r)' equal to zero and attempt to solve: Simplifying 3 + -7r = 0 Solving 3 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7r = 0 + -3 -7r = 0 + -3 Combine like terms: 0 + -3 = -3 -7r = -3 Divide each side by '-7'. r = 0.4285714286 Simplifying r = 0.4285714286

Subproblem 2

Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 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 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4

Solution

r = {0.4285714286, 4}

See similar equations:

| (1/10)=e^-0.15X | | 2c-7=19 | | 14b-12b-2b+b+2b=12 | | 18sqrdn-20=18 | | x^-1/4x^5/4/x^1/3 | | AK+Hy= | | 25y^2-10y-100x+41=0 | | 4*x^2+20*x=8*x | | 2x^2=14x+36 | | 4h-13=-9n | | h(t)=-4.9t^2+32t+1.2 | | 4xln(x)+2x=0 | | -3(7p+5)-2(3-17p)=3(1+4p) | | -13r+10r+-2r=5 | | 5x^2-8x-90=0 | | 6m+3=-45 | | s^2-37=84 | | 1x+2+1x+2=12 | | 13x-(9x-4)=24 | | 5(x+20)=7x+30 | | z^2+66=0 | | 5g+3g-4g+g-2g=6 | | x^2+6x+208=200 | | 3x+7=2x-21 | | 2(x-7.00)=4.00 | | 20x-18x-2x+4x-2x=20 | | 44=-2(24-y)+4(y-4) | | D-136=8 | | -5n+12=47 | | (6x+6)+2x=180 | | -t^2+5t+42=6 | | 2(2m)+4(4m+2)=108 |

Equations solver categories