(6n-8)(-2n+7)=

Simple and best practice solution for (6n-8)(-2n+7)= 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 (6n-8)(-2n+7)= equation: 


Simplifying
(6n + -8)(-2n + 7) = 0

Reorder the terms:
(-8 + 6n)(-2n + 7) = 0

Reorder the terms:
(-8 + 6n)(7 + -2n) = 0

Multiply (-8 + 6n) * (7 + -2n)
(-8(7 + -2n) + 6n * (7 + -2n)) = 0
((7 * -8 + -2n * -8) + 6n * (7 + -2n)) = 0
((-56 + 16n) + 6n * (7 + -2n)) = 0
(-56 + 16n + (7 * 6n + -2n * 6n)) = 0
(-56 + 16n + (42n + -12n2)) = 0

Combine like terms: 16n + 42n = 58n
(-56 + 58n + -12n2) = 0

Solving
-56 + 58n + -12n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 29n + -6n2) = 0

Factor a trinomial.
2((-7 + 2n)(4 + -3n)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 2n)' equal to zero and attempt to solve:

Simplifying
-7 + 2n = 0

Solving
-7 + 2n = 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 + 2n = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2n = 0 + 7
2n = 0 + 7

Combine like terms: 0 + 7 = 7
2n = 7

Divide each side by '2'.
n = 3.5

Simplifying
n = 3.5

Subproblem 2
Set the factor '(4 + -3n)' equal to zero and attempt to solve:

Simplifying
4 + -3n = 0

Solving
4 + -3n = 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 + -3n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3n = 0 + -4
-3n = 0 + -4

Combine like terms: 0 + -4 = -4
-3n = -4

Divide each side by '-3'.
n = 1.333333333

Simplifying
n = 1.333333333
Solution
n = {3.5, 1.333333333}

See similar equations:

| 7/10j=2/3 | | 19=3g-35 | | 2a(y-b)=4x | | 1810+h=1997 | | -5h+19=2(h-1) | | 4x+6=x^2+5x | | 3/8p-17=10 | | 39x+57=6y | | 3z-8=16 | | 1/3(y+1)=2/3y | | 3p+4=p+16 | | 23+x=65 | | 25x+5y=40 | | 46=2b-2 | | 5c-3=11 | | -2x-5=-6 | | 3/5(y+1)=2/3y | | 8-3b=0 | | -10=-50+10s | | 6+2s-2=6s+6-3s | | 2x^2-9=x | | -x+3+2x=10 | | 2x^2+3x-8=-5 | | 20x+4/3=668 | | v(x)=x(60-2x)(15-2x) | | 3m-37=47 | | 2/3x+3=5 | | 2.5x+1.8=4.5 | | r^2-r-12= | | 30-x=17 | | 3y-4+y+42=7+7y+33-5y | | Logx(48)=2 |

Equations solver categories