-x^2-2x+3=2x-2

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


Simplifying
-1x2 + -2x + 3 = 2x + -2

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

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

Solving
3 + -2x + -1x2 = -2 + 2x

Solving for variable 'x'.

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

Combine like terms: 3 + 2 = 5
5 + -2x + -2x + -1x2 = -2 + 2x + 2 + -2x

Combine like terms: -2x + -2x = -4x
5 + -4x + -1x2 = -2 + 2x + 2 + -2x

Reorder the terms:
5 + -4x + -1x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
5 + -4x + -1x2 = 0 + 2x + -2x
5 + -4x + -1x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -4x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(5 + x) = 0


Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {1, -5}

See similar equations:

| 15x=12x+1 | | 0.5=-4x^3+3x | | 2x+(-45)=-4 | | y=-4x^3+3x | | y=-4x^3-3x | | x+(x-1)=15 | | (y+z)p-(x+z)q=x-y | | 2x+-54=6 | | 3/7*2/9 | | x^2+2y^2+4=0 | | pq+30=6p+5q | | X^4+Y^4=Z^2 | | 3/10*X=12 | | 3x+.80=x+1.80 | | x+3=x*x | | 30093/(x)=185 | | p+q-pq=1 | | 6x^2-5x+171=0 | | 6x^2-5x+171= | | 30093/x=185 | | 1-3x=2x-7 | | 8x=20x-80 | | -10(s+5)=117 | | 6-5p=30p | | 4(x-3)+3x-14+3(2-4x)=0 | | 3x=y^2-3y+11 | | 7(4s+10)=434 | | y=24*0+45 | | 2n(6)+6=2(4n)+8 | | 21=-4.9x+25x | | p=3*5+8 | | 10x-19=9x+5 |

Equations solver categories