(3k-1)(3k-1)=(5k+3)(3k-8)

Simple and best practice solution for (3k-1)(3k-1)=(5k+3)(3k-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 (3k-1)(3k-1)=(5k+3)(3k-8) equation: 


Simplifying
(3k + -1)(3k + -1) = (5k + 3)(3k + -8)

Reorder the terms:
(-1 + 3k)(3k + -1) = (5k + 3)(3k + -8)

Reorder the terms:
(-1 + 3k)(-1 + 3k) = (5k + 3)(3k + -8)

Multiply (-1 + 3k) * (-1 + 3k)
(-1(-1 + 3k) + 3k * (-1 + 3k)) = (5k + 3)(3k + -8)
((-1 * -1 + 3k * -1) + 3k * (-1 + 3k)) = (5k + 3)(3k + -8)
((1 + -3k) + 3k * (-1 + 3k)) = (5k + 3)(3k + -8)
(1 + -3k + (-1 * 3k + 3k * 3k)) = (5k + 3)(3k + -8)
(1 + -3k + (-3k + 9k2)) = (5k + 3)(3k + -8)

Combine like terms: -3k + -3k = -6k
(1 + -6k + 9k2) = (5k + 3)(3k + -8)

Reorder the terms:
1 + -6k + 9k2 = (3 + 5k)(3k + -8)

Reorder the terms:
1 + -6k + 9k2 = (3 + 5k)(-8 + 3k)

Multiply (3 + 5k) * (-8 + 3k)
1 + -6k + 9k2 = (3(-8 + 3k) + 5k * (-8 + 3k))
1 + -6k + 9k2 = ((-8 * 3 + 3k * 3) + 5k * (-8 + 3k))
1 + -6k + 9k2 = ((-24 + 9k) + 5k * (-8 + 3k))
1 + -6k + 9k2 = (-24 + 9k + (-8 * 5k + 3k * 5k))
1 + -6k + 9k2 = (-24 + 9k + (-40k + 15k2))

Combine like terms: 9k + -40k = -31k
1 + -6k + 9k2 = (-24 + -31k + 15k2)

Solving
1 + -6k + 9k2 = -24 + -31k + 15k2

Solving for variable 'k'.

Reorder the terms:
1 + 24 + -6k + 31k + 9k2 + -15k2 = -24 + -31k + 15k2 + 24 + 31k + -15k2

Combine like terms: 1 + 24 = 25
25 + -6k + 31k + 9k2 + -15k2 = -24 + -31k + 15k2 + 24 + 31k + -15k2

Combine like terms: -6k + 31k = 25k
25 + 25k + 9k2 + -15k2 = -24 + -31k + 15k2 + 24 + 31k + -15k2

Combine like terms: 9k2 + -15k2 = -6k2
25 + 25k + -6k2 = -24 + -31k + 15k2 + 24 + 31k + -15k2

Reorder the terms:
25 + 25k + -6k2 = -24 + 24 + -31k + 31k + 15k2 + -15k2

Combine like terms: -24 + 24 = 0
25 + 25k + -6k2 = 0 + -31k + 31k + 15k2 + -15k2
25 + 25k + -6k2 = -31k + 31k + 15k2 + -15k2

Combine like terms: -31k + 31k = 0
25 + 25k + -6k2 = 0 + 15k2 + -15k2
25 + 25k + -6k2 = 15k2 + -15k2

Combine like terms: 15k2 + -15k2 = 0
25 + 25k + -6k2 = 0

Factor a trinomial.
(5 + -1k)(5 + 6k) = 0


Subproblem 1
Set the factor '(5 + -1k)' equal to zero and attempt to solve:

Simplifying
5 + -1k = 0

Solving
5 + -1k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 0 + -5
-1k = 0 + -5

Combine like terms: 0 + -5 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5

Subproblem 2
Set the factor '(5 + 6k)' equal to zero and attempt to solve:

Simplifying
5 + 6k = 0

Solving
5 + 6k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6k = 0 + -5
6k = 0 + -5

Combine like terms: 0 + -5 = -5
6k = -5

Divide each side by '6'.
k = -0.8333333333

Simplifying
k = -0.8333333333
Solution
k = {5, -0.8333333333}

See similar equations:

| 1.08x=30 | | 2+-7k=20+-k | | 10x-50+15x=18x+12 | | 1m+2=6 | | (5d^2-2d^5)(3d^3-h+4d^2)=0 | | (5d^2-2d^5)-(3d^3-h+4d^2)=0 | | -3x+78=-15x-282 | | 0.50+0.25(30)=42.5 | | 2f(3a)= | | Y+3=4+8(y) | | 5+-Y=29+-4y | | 60x+150=1200 | | x+6y=56 | | 4+1n(x+1)=7 | | 4+ln(x+1)=7 | | 5k-5+2k-8=4(k+6)+2(7k-2) | | 1.25-2.48x=8.15x+5.86 | | 110=-2x+48 | | lnx=ln^6-ln(x+5) | | 6+-Y=2a+-4y | | -3(5-8k)=23+5k | | 0.3(x+40)-0.07(x-20)=6.5 | | X+8=0(x) | | (2X-1)(3X)=0 | | =7-4+3*0+1 | | t^2-6t+25=0 | | 0.8x-1.5=4.3x+1.9 | | (3X-2)(2X)=0 | | 5x+25=8x-2 | | n-7=-5+2n-1+2 | | (3x-2)(x+5)=14x-8 | | ln(4x)=61 |

Equations solver categories