(6n-1)(3n+5)=0

Simple and best practice solution for (6n-1)(3n+5)=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 (6n-1)(3n+5)=0 equation:


Simplifying
(6n + -1)(3n + 5) = 0

Reorder the terms:
(-1 + 6n)(3n + 5) = 0

Reorder the terms:
(-1 + 6n)(5 + 3n) = 0

Multiply (-1 + 6n) * (5 + 3n)
(-1(5 + 3n) + 6n * (5 + 3n)) = 0
((5 * -1 + 3n * -1) + 6n * (5 + 3n)) = 0
((-5 + -3n) + 6n * (5 + 3n)) = 0
(-5 + -3n + (5 * 6n + 3n * 6n)) = 0
(-5 + -3n + (30n + 18n2)) = 0

Combine like terms: -3n + 30n = 27n
(-5 + 27n + 18n2) = 0

Solving
-5 + 27n + 18n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-5 + -3n)(1 + -6n) = 0

Subproblem 1

Set the factor '(-5 + -3n)' equal to zero and attempt to solve: Simplifying -5 + -3n = 0 Solving -5 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = 0 + 5 -3n = 0 + 5 Combine like terms: 0 + 5 = 5 -3n = 5 Divide each side by '-3'. n = -1.666666667 Simplifying n = -1.666666667

Subproblem 2

Set the factor '(1 + -6n)' equal to zero and attempt to solve: Simplifying 1 + -6n = 0 Solving 1 + -6n = 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 + -6n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6n = 0 + -1 -6n = 0 + -1 Combine like terms: 0 + -1 = -1 -6n = -1 Divide each side by '-6'. n = 0.1666666667 Simplifying n = 0.1666666667

Solution

n = {-1.666666667, 0.1666666667}

See similar equations:

| -4(1+X)=5(1+X) | | 5/7÷1/9 | | 2x+18=10+2 | | 4x+10y=y+10x | | 5(5x+3)=3x-22 | | 7x+3=2*x-12 | | 6y=7-4(.5+-1.5y) | | 3[2x-(x+7)]=5(x+1) | | 2c+1=15 | | (x^2-2x-15)/(x-5) | | (4y+2u-4)(7y-u+3)= | | 2x^2-12+16=0 | | 53=18-7a | | (6v+2w)(5v-w-2)= | | sin4x/cos5x=-1 | | 5x-10=7x+2 | | sin4x/cos5x=1 | | 40x-3=182 | | y-5=-3/2(x-18) | | (6y+5w+3)(7y-1)= | | 14-7a=42 | | 5x+1=3x+47 | | 25=6p+7 | | 5-5x=8-3x-[2(5+27)+2x] | | -3x-3(x-2)=42 | | 2(3+y)+2y=10 | | 6y+4=5y-9 | | (4v-x+7)(2v-6x-3)= | | 12+5z=7 | | 42b^2+300b+42=0 | | y-5=9/2(x-8) | | 7x-9=3-45 |

Equations solver categories