k^2+10k-100=2k^2+55

Simple and best practice solution for k^2+10k-100=2k^2+55 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 k^2+10k-100=2k^2+55 equation: 


Simplifying
k2 + 10k + -100 = 2k2 + 55

Reorder the terms:
-100 + 10k + k2 = 2k2 + 55

Reorder the terms:
-100 + 10k + k2 = 55 + 2k2

Solving
-100 + 10k + k2 = 55 + 2k2

Solving for variable 'k'.

Reorder the terms:
-100 + -55 + 10k + k2 + -2k2 = 55 + 2k2 + -55 + -2k2

Combine like terms: -100 + -55 = -155
-155 + 10k + k2 + -2k2 = 55 + 2k2 + -55 + -2k2

Combine like terms: k2 + -2k2 = -1k2
-155 + 10k + -1k2 = 55 + 2k2 + -55 + -2k2

Reorder the terms:
-155 + 10k + -1k2 = 55 + -55 + 2k2 + -2k2

Combine like terms: 55 + -55 = 0
-155 + 10k + -1k2 = 0 + 2k2 + -2k2
-155 + 10k + -1k2 = 2k2 + -2k2

Combine like terms: 2k2 + -2k2 = 0
-155 + 10k + -1k2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
155 + -10k + k2 = 0

Move the constant term to the right:

Add '-155' to each side of the equation.
155 + -10k + -155 + k2 = 0 + -155

Reorder the terms:
155 + -155 + -10k + k2 = 0 + -155

Combine like terms: 155 + -155 = 0
0 + -10k + k2 = 0 + -155
-10k + k2 = 0 + -155

Combine like terms: 0 + -155 = -155
-10k + k2 = -155

The k term is -10k.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10k + 25 + k2 = -155 + 25

Reorder the terms:
25 + -10k + k2 = -155 + 25

Combine like terms: -155 + 25 = -130
25 + -10k + k2 = -130

Factor a perfect square on the left side:
(k + -5)(k + -5) = -130

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 12+S=20 | | -t-(3)=0 | | y=15x^2-5x-20 | | 5x^2+405=0 | | 1x^5-10x^4-72x^3-810x^2+0x^1-729=0 | | 4x-5-x+7=11 | | -28=7(u-6)-5u | | 20n^3-32n^2+12n=0 | | 6(x+7)+(x+3)= | | -4y+8y=9 | | 4+x-16=10 | | -3x^2-16x-85=0 | | 1x^5-10x^4-72x^3-810x^2-729=0 | | -15x+7+12x+8= | | 18y^2+54y+28=0 | | 8c-47=12 | | 5f+22=97 | | (X-4)+(-2x+1)= | | 6(x+2)2=6(x+2)2 | | 9+2t=19 | | 7=5+y-4 | | 6x^2-5xy+y^2=0 | | .3x+7=10.6 | | 3+4b=15 | | (X-1)+(2x+3)= | | 7y+-2[8y+1]=5 | | 7y+-2[8y+1]=4 | | 267=0.125x^2-0.8x+99 | | 13x+18+9x= | | -15x-45=0 | | [-7]+k=4 | | 6d^2+35d-6=0 |

Equations solver categories