(n-3)(n-7)=

Simple and best practice solution for (n-3)(n-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 (n-3)(n-7)= equation:


Simplifying
(n + -3)(n + -7) = 0

Reorder the terms:
(-3 + n)(n + -7) = 0

Reorder the terms:
(-3 + n)(-7 + n) = 0

Multiply (-3 + n) * (-7 + n)
(-3(-7 + n) + n(-7 + n)) = 0
((-7 * -3 + n * -3) + n(-7 + n)) = 0
((21 + -3n) + n(-7 + n)) = 0
(21 + -3n + (-7 * n + n * n)) = 0
(21 + -3n + (-7n + n2)) = 0

Combine like terms: -3n + -7n = -10n
(21 + -10n + n2) = 0

Solving
21 + -10n + n2 = 0

Solving for variable 'n'.

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

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:

| 2(-3+n)=-6 | | 4(3k-4)=104 | | 3(-10+4n)=-114 | | 4i/3+3i | | 3(-10-4t)=6 | | 2(-4+k)=16 | | 5(-5a-10)=-300 | | 5(-1m+8)=-15 | | 2(-8+7n)=-184 | | 6(1w+10)=132 | | 4(5+m)=64 | | 5(-1m+7)=-10 | | 4(-8-6n)=184 | | 4(6k+4)=256 | | x+9/5=11/5 | | 7(6-7d)=42 | | 4(-2d-3)=76 | | 4(5-4k)=148 | | 6(2b-1)=78 | | 6(-7x+8)=-330 | | 4(-1t+5)=-20 | | 5(6w+1)=-25 | | 4(6+7b)=276 | | 4(1.125)+9(1-1.125)=3(1.125)+0(1-1.125) | | 2(5a-7)=76 | | 2(3+7n)=-36 | | 6(4-7b)=-60 | | 4(7a-6)=116 | | 2(-2t+8)=32 | | 25+21=5(+-2)16 | | 5(1-1a)=30 | | 7(-6+3t)=42 |

Equations solver categories