x^2=3x-3

Simple and best practice solution for x^2=3x-3 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=3x-3 equation:


Simplifying
x2 = 3x + -3

Reorder the terms:
x2 = -3 + 3x

Solving
x2 = -3 + 3x

Solving for variable 'x'.

Reorder the terms:
3 + -3x + x2 = -3 + 3x + 3 + -3x

Reorder the terms:
3 + -3x + x2 = -3 + 3 + 3x + -3x

Combine like terms: -3 + 3 = 0
3 + -3x + x2 = 0 + 3x + -3x
3 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -3x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3x + x2 = 0 + -3
-3x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3x + x2 = -3

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -3 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3x + x2 = -0.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 0=217+x/(13.2-X)(32.8-X) | | 18xy^3+3xy^2-10xy= | | (3y+1)*25= | | 4(2x+5)=8-3(x+7) | | 4(2x+5)=8-3(x-7) | | 6(y+4)=3(y+1) | | -10n+7=-9n-5 | | 2(4y-1)=6y | | 37x-21+19x=154 | | Bx+Gy=Kforx | | x+3=z-5 | | 217+x/(13.2-X)(32.8-X)=1.25 | | Ax+Fy=Kforx | | 1.25=217+x/(13.2-X)(32.8-X) | | -12n+6=-10n-2 | | 2(4a-7)+a=76 | | -37-(-43)=x/6 | | 2(4c-1)-6=3c+7 | | -7(t+1)=14 | | -7(t+1)=4 | | 1/2(18x+2)=3(3x-2)-3(x-7) | | 1/2(p+6)=7/2(3-p) | | 3x^2+(k-1)x-2=0 | | 27-19=4(x-6) | | -7x+1=9 | | 30+5y-12=17y-9-3y | | x+23+4x=-22-4x-27 | | -x(x-2)(x+2)(x+2)=0 | | b^12*b^10= | | -0.4x^2+2.2x+4.7=0 | | w^6*w^8= | | 5q^2-2bq-3=0 |

Equations solver categories