x^2+61=12x

Simple and best practice solution for x^2+61=12x 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 x^2+61=12x equation:


Simplifying
x2 + 61 = 12x

Reorder the terms:
61 + x2 = 12x

Solving
61 + x2 = 12x

Solving for variable 'x'.

Reorder the terms:
61 + -12x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
61 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + -12x + -61 + x2 = 0 + -61

Reorder the terms:
61 + -61 + -12x + x2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -12x + x2 = 0 + -61
-12x + x2 = 0 + -61

Combine like terms: 0 + -61 = -61
-12x + x2 = -61

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -61 + 36

Reorder the terms:
36 + -12x + x2 = -61 + 36

Combine like terms: -61 + 36 = -25
36 + -12x + x2 = -25

Factor a perfect square on the left side:
(x + -6)(x + -6) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 9+7x=6x+19 | | 8x+6y=16 | | 19c=5*57 | | f+(+60)+(2f-50)+3f=1424 | | 5x(5x+3)=19 | | 8(2x+3)-1= | | M-6+6=-2 | | -7-(-18)+(-10)= | | 27x^3+72x^2+48x=0 | | 1.9=2.9-0.2x | | (4x+1)+(6x-5)= | | -384=6(1-13x) | | 0.5*t=5*0.3 | | 5x(5x+3)=18 | | 6*0.5=-4(n-1) | | 0.25+15=7 | | -4x^2=224 | | .33+.66m=.66-.66 | | -1+21-40= | | 2x+9=25 | | 4p^2-8p=0 | | -58+35=x | | 16x=136 | | -161=7(-n-13) | | -(3-10y)= | | 1.5k=-20 | | -7(6x+3)= | | 2-0.75k=0.125+9 | | P-7=-8 | | 10x+45=20x-15 | | Y+8x=17 | | 30=7x+3-4 |

Equations solver categories