x^2=12x-45

Simple and best practice solution for x^2=12x-45 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=12x-45 equation:


Simplifying
x2 = 12x + -45

Reorder the terms:
x2 = -45 + 12x

Solving
x2 = -45 + 12x

Solving for variable 'x'.

Reorder the terms:
45 + -12x + x2 = -45 + 12x + 45 + -12x

Reorder the terms:
45 + -12x + x2 = -45 + 45 + 12x + -12x

Combine like terms: -45 + 45 = 0
45 + -12x + x2 = 0 + 12x + -12x
45 + -12x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
45 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -12x + -45 + x2 = 0 + -45

Reorder the terms:
45 + -45 + -12x + x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -12x + x2 = 0 + -45
-12x + x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-12x + x2 = -45

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 = -45 + 36

Reorder the terms:
36 + -12x + x2 = -45 + 36

Combine like terms: -45 + 36 = -9
36 + -12x + x2 = -9

Factor a perfect square on the left side:
(x + -6)(x + -6) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 0.6x-8=2.2x-16 | | -32=5v-9v | | 4x-y=-21 | | 10=-13x+2 | | nover-4+(-3)=8 | | 13x-6=11x | | 5(-2(2x+5)+2(3x-4))= | | 10=-13+2 | | 705+0.5x=3/4x | | ln(x)=2/3ln(27)+ln(20)-3ln(8) | | 4x+4x=7x-6 | | 6(6-x)=4x | | 60/5= | | 38x^2+6x-10=0 | | 9x+5y=-11 | | 6n+9=4n+12 | | 2=5x | | 2(16.17)+y=21 | | 6/10+3/5 | | -7/19p=-4 | | 6t-2=0 | | 4(16.75)+4(-2(16.75)+21)= | | 5(x-8)=20 | | 4(16.75)+4(-2(16.75)+21)=17 | | -1/3x-9.333333=-1 | | x/-5-21=-20 | | 56=8t | | 4=6/(2x-1) | | 9=4x-8 | | 3x=y-12 | | 70-q-q-2q=70 | | 3t=4 |

Equations solver categories