4(4k+1)(8k+7)=

Simple and best practice solution for 4(4k+1)(8k+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 4(4k+1)(8k+7)= equation: 


Simplifying
4(4k + 1)(8k + 7) = 0

Reorder the terms:
4(1 + 4k)(8k + 7) = 0

Reorder the terms:
4(1 + 4k)(7 + 8k) = 0

Multiply (1 + 4k) * (7 + 8k)
4(1(7 + 8k) + 4k * (7 + 8k)) = 0
4((7 * 1 + 8k * 1) + 4k * (7 + 8k)) = 0
4((7 + 8k) + 4k * (7 + 8k)) = 0
4(7 + 8k + (7 * 4k + 8k * 4k)) = 0
4(7 + 8k + (28k + 32k2)) = 0

Combine like terms: 8k + 28k = 36k
4(7 + 36k + 32k2) = 0
(7 * 4 + 36k * 4 + 32k2 * 4) = 0
(28 + 144k + 128k2) = 0

Solving
28 + 144k + 128k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 36k + 32k2) = 0

Factor a trinomial.
4((7 + 8k)(1 + 4k)) = 0

Ignore the factor 4.

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

Simplifying
7 + 8k = 0

Solving
7 + 8k = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8k = 0 + -7

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

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

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

Simplifying
k = -0.875

Subproblem 2
Set the factor '(1 + 4k)' equal to zero and attempt to solve:

Simplifying
1 + 4k = 0

Solving
1 + 4k = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4k = 0 + -1
4k = 0 + -1

Combine like terms: 0 + -1 = -1
4k = -1

Divide each side by '4'.
k = -0.25

Simplifying
k = -0.25
Solution
k = {-0.875, -0.25}

See similar equations:

| 2=7/3t | | 3-9/4 | | 8x^2+6=x^2-23x | | (8-w)(5w-9)=0 | | 20.48=8u | | 74=4x+(74-4x) | | 15/n=3/5/12 | | 6cos(x+2)=1 | | 4b-0.7=5b | | 5k-16=2y | | 3+g=15 | | 7k-8+2k+12=52 | | 14/10x=3/10 | | 2r^3+10r^2=48r | | 4y+15=2y+5 | | E^4x=142 | | (3x+10)+(4x-20)=90 | | 6x^2-7x-46=0 | | 3x-5=-5x+8 | | x^2-6x=x(6+x) | | 5n-6=2(n+3) | | t(n)=5-3 | | -3(3x-5)=6 | | 3x-5=2x+8-7x | | 167=428 | | 6x+2-3x=-7-2x-x+13 | | 3x-10=2x+-7x | | 342=7x+y | | sin(4pix)=1 | | -(12ab-10)+5(3ab-2)= | | 4x-3(2-x)=10+9x | | 3x+x+x+10=8x |

Equations solver categories