7n^2+56=42n

Simple and best practice solution for 7n^2+56=42n 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 7n^2+56=42n equation:


Simplifying
7n2 + 56 = 42n

Reorder the terms:
56 + 7n2 = 42n

Solving
56 + 7n2 = 42n

Solving for variable 'n'.

Reorder the terms:
56 + -42n + 7n2 = 42n + -42n

Combine like terms: 42n + -42n = 0
56 + -42n + 7n2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(8 + -6n + n2) = 0

Factor a trinomial.
7((2 + -1n)(4 + -1n)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2

Subproblem 2

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

Solution

n = {2, 4}

See similar equations:

| 55-x=55 | | 90.009/10^2= | | -2x+7y= | | 15y-5=75-y | | 0=-3x+x-4 | | 9w^2+64=48w | | -4x^2+28x-40=0 | | (8x+11)(8x-11)= | | 5=2x-25 | | 7k-3=5k+2whatisk | | 7w+2=3(w-2) | | -2x-15y-9x+11y= | | 6+4t=10 | | (3+Y)(3Y-5)=0 | | 25x^2-4y^2+50x-75=0 | | 16-3(9-5)/4 | | 14/6a=/18ab^3 | | 14/6a=?/18ab^3 | | -10*x=70 | | -15b+4b-2b=30 | | Xy-xz= | | 11+x+11=7-11 | | 3+2v+5=33 | | x*(-12)=-24 | | 7(3w+6)=5 | | 1/5a-1/5=12 | | ln(x+7)=ln(x-6)-ln(x+6) | | 5x^2+10x=315 | | 2x-3y-4=x+5 | | 2x+3+2x-3=260 | | x+2=9y | | 2x-6(+6)=10 |

Equations solver categories