3n^2-3n-126=0

Simple and best practice solution for 3n^2-3n-126=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 3n^2-3n-126=0 equation:


Simplifying
3n2 + -3n + -126 = 0

Reorder the terms:
-126 + -3n + 3n2 = 0

Solving
-126 + -3n + 3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-42 + -1n + n2) = 0

Factor a trinomial.
3((-6 + -1n)(7 + -1n)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-6 + -1n)' equal to zero and attempt to solve: Simplifying -6 + -1n = 0 Solving -6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = 0 + 6 -1n = 0 + 6 Combine like terms: 0 + 6 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6

Subproblem 2

Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 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 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7

Solution

n = {-6, 7}

See similar equations:

| 5k^2+25k-30=0 | | 0=.0006x^2+.036x-.36 | | -3a=-49 | | 32x^5-160x^3+120x=0 | | X^2+x-33=-3 | | -7x^2=-sqx | | 47-7v=40 | | factorx^2-6x+20=0 | | -7x^2=-x^1/2 | | 4x+4(2.50)= | | J/8-2=1 | | X^2=18+3p | | 3(v+3)=33 | | 5x^2-70x=-245 | | X^2-11x+37=7 | | 55=5(z-74) | | X^2+x-36=-6 | | 70+55+64+x=180 | | tan(1.5/x) | | 0.75x=26 | | -2x+5=-5x-3 | | 18x-(20v/9x^2) | | 7=(-5)(-2)+c | | 3+x=-30 | | 3/4-t-4/3=t/12 | | p=11(6)+2 | | 18p+22-3(2p+3.5)= | | A=3.14*1.9*1.9 | | x^2-0.9x-0.52= | | 1/4(x)=16 | | 3(4n+5)=-7-23 | | A=3.14*1.92 |

Equations solver categories