(2n-14)(3n+9)=0

Simple and best practice solution for (2n-14)(3n+9)=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 (2n-14)(3n+9)=0 equation: 


Simplifying
(2n + -14)(3n + 9) = 0

Reorder the terms:
(-14 + 2n)(3n + 9) = 0

Reorder the terms:
(-14 + 2n)(9 + 3n) = 0

Multiply (-14 + 2n) * (9 + 3n)
(-14(9 + 3n) + 2n * (9 + 3n)) = 0
((9 * -14 + 3n * -14) + 2n * (9 + 3n)) = 0
((-126 + -42n) + 2n * (9 + 3n)) = 0
(-126 + -42n + (9 * 2n + 3n * 2n)) = 0
(-126 + -42n + (18n + 6n2)) = 0

Combine like terms: -42n + 18n = -24n
(-126 + -24n + 6n2) = 0

Solving
-126 + -24n + 6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-21 + -4n + n2) = 0

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

Ignore the factor 6.

Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve:

Simplifying
-3 + -1n = 0

Solving
-3 + -1n = 0

Move all terms containing n to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1n = 0 + 3
-1n = 0 + 3

Combine like terms: 0 + 3 = 3
-1n = 3

Divide each side by '-1'.
n = -3

Simplifying
n = -3

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 = {-3, 7}

See similar equations:

| y=5-2(3+4s) | | 6(k-2)-8=4k-(3k-2) | | 2y+5x=204 | | -8=5-(7-7) | | 4b/5=15 | | 8x+3y=13 | | 4x-3=177 | | 5x-10=7x+4(2x-1) | | 2(y+3)+6(y-4)+3= | | 9w+2=w+12 | | 5.95P-0.19=15.83 | | 7y=14x+35 | | 5x+4+2(4x-7)=90 | | y=5+2(3-4s) | | z=10/4-2 | | 36+13x=5(-16+15x) | | -11x+8y=-7 | | 5t+7=t+1 | | z=8/4-2 | | 3(y+4)+8(y-3)+2= | | 3f+[-5f-(f+3)]=8f+(-5f-9) | | 20.88m=155 | | -n-9=4 | | -8-2(1-5v)=21 | | y^2-15y+81=0 | | d-1/12=5/13 | | 27=3(5y-26) | | 17-(2-6)+a=5-2(5+6) | | -3x-5(-3x-9)=-51 | | 17-5w=68 | | -7n+2=-2(6+3.5n) | | 7-8=5y+4 |

Equations solver categories