5k^2-13k=30

Simple and best practice solution for 5k^2-13k=30 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 5k^2-13k=30 equation:


Simplifying
5k2 + -13k = 30

Reorder the terms:
-13k + 5k2 = 30

Solving
-13k + 5k2 = 30

Solving for variable 'k'.

Reorder the terms:
-30 + -13k + 5k2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -13k + 5k2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
-6 + -2.6k + k2 = 0

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + -2.6k + 6 + k2 = 0 + 6

Reorder the terms:
-6 + 6 + -2.6k + k2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2.6k + k2 = 0 + 6
-2.6k + k2 = 0 + 6

Combine like terms: 0 + 6 = 6
-2.6k + k2 = 6

The k term is -2.6k.  Take half its coefficient (-1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
-2.6k + 1.69 + k2 = 6 + 1.69

Reorder the terms:
1.69 + -2.6k + k2 = 6 + 1.69

Combine like terms: 6 + 1.69 = 7.69
1.69 + -2.6k + k2 = 7.69

Factor a perfect square on the left side:
(k + -1.3)(k + -1.3) = 7.69

Calculate the square root of the right side: 2.773084925

Break this problem into two subproblems by setting 
(k + -1.3) equal to 2.773084925 and -2.773084925.

Subproblem 1

k + -1.3 = 2.773084925 Simplifying k + -1.3 = 2.773084925 Reorder the terms: -1.3 + k = 2.773084925 Solving -1.3 + k = 2.773084925 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + k = 2.773084925 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + k = 2.773084925 + 1.3 k = 2.773084925 + 1.3 Combine like terms: 2.773084925 + 1.3 = 4.073084925 k = 4.073084925 Simplifying k = 4.073084925

Subproblem 2

k + -1.3 = -2.773084925 Simplifying k + -1.3 = -2.773084925 Reorder the terms: -1.3 + k = -2.773084925 Solving -1.3 + k = -2.773084925 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + k = -2.773084925 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + k = -2.773084925 + 1.3 k = -2.773084925 + 1.3 Combine like terms: -2.773084925 + 1.3 = -1.473084925 k = -1.473084925 Simplifying k = -1.473084925

Solution

The solution to the problem is based on the solutions from the subproblems. k = {4.073084925, -1.473084925}

See similar equations:

| R=Log8(3,8/0,5) | | log8(3,8/0,5) | | 34x+x*x=71000 | | y=2x-4z | | (3x+6)(9x+8)= | | x^4+x^3-10x^2-x+1=0 | | ln2x-1/2=? | | 16x-1=3x+1 | | (x-3)x^2+kx-21=0findk | | (3/4X-2/3Y)^2 | | 5/8-2u | | f(a+2)=x^2-5x+1 | | 3.25square+1=0.2 | | 2(a-4)=14 | | -15y=7y-30 | | (q-6)*4=36 | | 7(2l+3)=49 | | 4(4s+9)=180 | | 12n(n+4)-3n= | | 3xy2/6xy | | (3/4a-1/2)-7/4=-5/2 | | (3/4a.1/2)-7/4=-5/2 | | -6.8+3.5+(-4.2*n)=0.9 | | 36/52 | | 4r+5r+6r= | | 5(x+4)+6(x-2)= | | tg^2x-5=4tgx | | Yx(x+4y)= | | 3a+2b-5a+8b= | | 4x+20+6x+9=2x-10+7 | | x^4-6x^3+4x^2+15x+4=0 | | (m-1)(2m+5)=60 |

Equations solver categories