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

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


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

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

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

Multiply (-7 + n) * (7 + 8n)
(-7(7 + 8n) + n(7 + 8n)) = 0
((7 * -7 + 8n * -7) + n(7 + 8n)) = 0
((-49 + -56n) + n(7 + 8n)) = 0
(-49 + -56n + (7 * n + 8n * n)) = 0
(-49 + -56n + (7n + 8n2)) = 0

Combine like terms: -56n + 7n = -49n
(-49 + -49n + 8n2) = 0

Solving
-49 + -49n + 8n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-7 + -8n)(7 + -1n) = 0


Subproblem 1
Set the factor '(-7 + -8n)' equal to zero and attempt to solve:

Simplifying
-7 + -8n = 0

Solving
-7 + -8n = 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 + -8n = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8n = 0 + 7
-8n = 0 + 7

Combine like terms: 0 + 7 = 7
-8n = 7

Divide each side by '-8'.
n = -0.875

Simplifying
n = -0.875

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 = {-0.875, 7}

See similar equations:

| 3.5x=206500 | | 2(2n+5)=7(6n+6)+6 | | .5(3m-2)=7 | | 8+23x-3x^2=0 | | X(5y+2z)= | | 1.025v+2.4583=7.583 | | 11-(x*8)=15 | | -6+7x=64 | | 3m^3-15m^2+48m=0 | | -4=x-(-15) | | -7-(5*x)=28 | | 25x-10y=5y+35 | | 21=n-(-11) | | x+7=3x-9.5 | | x+87=23 | | 2p+9=3(2p-5) | | -3x+10=15x-8 | | 2.6n-3=-18 | | 7x=y+10 | | 5.5b+45+90+90=540 | | 80x^2+34x+3=0 | | (5c+2d)(-4)= | | -4x-7=3x-14 | | 2x(2-1)=3x+6 | | 90/40= | | (3+i)(2+3i)=0 | | 2x(3-1)=3x+6 | | 5y=-x-9 | | 4.05p+14.40=4.50[p+3] | | y+10=7x | | (2a-5)(3a-4)=(3a-4)(2a-3) | | 9x-19x=14 |

Equations solver categories