x^2=2x-3

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


Simplifying
x2 = 2x + -3

Reorder the terms:
x2 = -3 + 2x

Solving
x2 = -3 + 2x

Solving for variable 'x'.

Reorder the terms:
3 + -2x + x2 = -3 + 2x + 3 + -2x

Reorder the terms:
3 + -2x + x2 = -3 + 3 + 2x + -2x

Combine like terms: -3 + 3 = 0
3 + -2x + x2 = 0 + 2x + -2x
3 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x + x2 = 0 + -3
-2x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x + x2 = -3

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -3 + 1

Reorder the terms:
1 + -2x + x2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2x + x2 = -2

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 200.96=3.14r^2 | | 19+[-3+(-4)]= | | 3x-(x+5)+x=180 | | 2826=3.14r^2 | | t=-3+5n | | 3(x-12)=6 | | 144+x^2=144 | | t=5n-3 | | 3(x-1)=9x-3(2x+1) | | 3y^3-22y^2+7y=0 | | Ln(x-1)+ln(5x)=3 | | X-35=7(2x-5)-13x | | x-35=x-35 | | x-7x=-7-6 | | 6-2[-4(2-7)-3(2-3)]= | | (x-4)(4x+5)=0 | | 121x^2-25=0 | | 2x+6=4x+6 | | 3x^2+8x+3=0 | | 3-7[7-(9y-4)]= | | 6x+5y=110000 | | 7=-4t | | 7(5y-4)+2(4y+6)= | | 7(5y-6)+2(4y+6)= | | 2-14=-8t+4t | | 5x^2+11x-66=0 | | 5(y*2-4)=-21y | | 6x^2+x=2 | | 6t*2=7 | | s*2-9=0 | | 4(6x-9)=3(12x-8) | | 6z-5=7z-7 |

Equations solver categories