(4n-7)(4n+8)=

Simple and best practice solution for (4n-7)(4n+8)= 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 (4n-7)(4n+8)= equation: 


Simplifying
(4n + -7)(4n + 8) = 0

Reorder the terms:
(-7 + 4n)(4n + 8) = 0

Reorder the terms:
(-7 + 4n)(8 + 4n) = 0

Multiply (-7 + 4n) * (8 + 4n)
(-7(8 + 4n) + 4n * (8 + 4n)) = 0
((8 * -7 + 4n * -7) + 4n * (8 + 4n)) = 0
((-56 + -28n) + 4n * (8 + 4n)) = 0
(-56 + -28n + (8 * 4n + 4n * 4n)) = 0
(-56 + -28n + (32n + 16n2)) = 0

Combine like terms: -28n + 32n = 4n
(-56 + 4n + 16n2) = 0

Solving
-56 + 4n + 16n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-14 + n + 4n2) = 0

Factor a trinomial.
4((-2 + -1n)(7 + -4n)) = 0

Ignore the factor 4.

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

Simplifying
-2 + -1n = 0

Solving
-2 + -1n = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1n = 0 + 2
-1n = 0 + 2

Combine like terms: 0 + 2 = 2
-1n = 2

Divide each side by '-1'.
n = -2

Simplifying
n = -2

Subproblem 2
Set the factor '(7 + -4n)' equal to zero and attempt to solve:

Simplifying
7 + -4n = 0

Solving
7 + -4n = 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 + -4n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4n = 0 + -7
-4n = 0 + -7

Combine like terms: 0 + -7 = -7
-4n = -7

Divide each side by '-4'.
n = 1.75

Simplifying
n = 1.75
Solution
n = {-2, 1.75}

See similar equations:

| 174=74+55t | | F(x)=-6x^3+11 | | -4=y+8 | | (4a-5)(6a-6)= | | (6a+2)(3a+7)= | | 5x+24=3x+30 | | -(y+1)+2(5+y)=29 | | 6X-3(3X-4)=5(8-3x)-4 | | -6h=-42 | | -4p-4+5p=-8 | | (3a-2)(8a-6)= | | -4(t-5)-(t+9)=5 | | d-(-1)=10 | | 1+15=8 | | (1)(1/x) | | 2x^2+20x=-50 | | 2h=130 | | 5=5-6k+4k | | 2[k-(4k+16)+10]=2(k+6) | | 2x^2+3x+2.2=y | | (6n-6)(3n-7)= | | -(4+1)+2(5+y)=29 | | 23-3x=5x+7 | | 5/9-5n/-7=38 | | 68=12+b | | 4.9t^2-5t-1.5=0 | | d-30=17 | | T^2+4t-3= | | 560+22.95x=943+10.91x | | -5(t-5)-(t+9)=3 | | 5tiesx=12 | | 9x-10=3x+19 |

Equations solver categories