11k^2+4k-52=10k^2-7

Simple and best practice solution for 11k^2+4k-52=10k^2-7 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 11k^2+4k-52=10k^2-7 equation: 


Simplifying
11k2 + 4k + -52 = 10k2 + -7

Reorder the terms:
-52 + 4k + 11k2 = 10k2 + -7

Reorder the terms:
-52 + 4k + 11k2 = -7 + 10k2

Solving
-52 + 4k + 11k2 = -7 + 10k2

Solving for variable 'k'.

Reorder the terms:
-52 + 7 + 4k + 11k2 + -10k2 = -7 + 10k2 + 7 + -10k2

Combine like terms: -52 + 7 = -45
-45 + 4k + 11k2 + -10k2 = -7 + 10k2 + 7 + -10k2

Combine like terms: 11k2 + -10k2 = 1k2
-45 + 4k + 1k2 = -7 + 10k2 + 7 + -10k2

Reorder the terms:
-45 + 4k + 1k2 = -7 + 7 + 10k2 + -10k2

Combine like terms: -7 + 7 = 0
-45 + 4k + 1k2 = 0 + 10k2 + -10k2
-45 + 4k + 1k2 = 10k2 + -10k2

Combine like terms: 10k2 + -10k2 = 0
-45 + 4k + 1k2 = 0

Factor a trinomial.
(-9 + -1k)(5 + -1k) = 0


Subproblem 1
Set the factor '(-9 + -1k)' equal to zero and attempt to solve:

Simplifying
-9 + -1k = 0

Solving
-9 + -1k = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1k = 0 + 9
-1k = 0 + 9

Combine like terms: 0 + 9 = 9
-1k = 9

Divide each side by '-1'.
k = -9

Simplifying
k = -9

Subproblem 2
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
Solution
k = {-9, 5}

See similar equations:

| -5y+10=5 | | p/8=4p-124 | | t/8=3t-161 | | x/2=6x-33 | | 3y-104=y/9 | | 35=0.2*225-0.2*10e | | 80X^3-52X^2+26X-3=0 | | 4=7x-(4x)-4+1 | | 3x^2-19x-36=0 | | Y=.25x^2+3x-6 | | 4x+12+4/3*4x=x^2+3x | | 2x+x-17/2=4218 | | 5,23+x=-7,24 | | (a+b)(a-b)(b-a)=0 | | 2x+x-6/17=24860 | | 2x+x-6/17=57 | | 2x+x-6/17= | | 16x-7=3x-1 | | (5u-3)/(4u-8) | | 3.25+1.75+c=17 | | 4x^2+3x-9=0 | | 9-(5v+5)=-5-4 | | 4=7x-(4x)-4+7 | | 3x^2+x-22=0 | | 3n-7=12n-12 | | 3n/5=4n-102 | | 2y+45=13 | | Y+80=3y | | ln(x+5)+ln(x+3)=ln(8) | | 4+3y=42 | | 4+y=18 | | 2+3y=42 |

Equations solver categories