12n^2-31n+7=0

Simple and best practice solution for 12n^2-31n+7=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 12n^2-31n+7=0 equation:


Simplifying
12n2 + -31n + 7 = 0

Reorder the terms:
7 + -31n + 12n2 = 0

Solving
7 + -31n + 12n2 = 0

Solving for variable 'n'.

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

Subproblem 1

Set the factor '(1 + -4n)' equal to zero and attempt to solve: Simplifying 1 + -4n = 0 Solving 1 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = 0 + -1 -4n = 0 + -1 Combine like terms: 0 + -1 = -1 -4n = -1 Divide each side by '-4'. n = 0.25 Simplifying n = 0.25

Subproblem 2

Set the factor '(7 + -3n)' equal to zero and attempt to solve: Simplifying 7 + -3n = 0 Solving 7 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 0 + -7 -3n = 0 + -7 Combine like terms: 0 + -7 = -7 -3n = -7 Divide each side by '-3'. n = 2.333333333 Simplifying n = 2.333333333

Solution

n = {0.25, 2.333333333}

See similar equations:

| 7y^2-8y+1=0 | | -1m=56 | | 3x=8+-4y | | 16f^2-8f+1=0 | | (m^2)+m=(n^4)+2(n^3)+3(n^2)+2(n) | | m^2+m=n^4+2n^3+3n^2+2n | | log(4)1024= | | e-333=e | | 8y-3=13 | | (2x-12)(x+6)= | | X^2+24x+6=0 | | 1+y=10 | | x^3+20x+8=0 | | x^3-20x+8=0 | | 10x+22=5x+3 | | y=8x^3+x^2+8x | | 2(2x+40)=5(x+8) | | (-8m^2-3m+3)-(-2m^2-5)= | | 138-7x=20x+15x | | 121-2x=16x+15 | | 4u^2+5u=6 | | 100-5x=2x+9 | | 6r+5(r+6)-3(s-5)= | | =4(x-1) | | x(6x)=52 | | 4(x+1)=5(x+2)-7 | | 40=5n | | y=-3y | | 2y+6=0 | | -30=10k | | 3e-1=11 | | 5f=-3 |

Equations solver categories