3x^2-3x-3=2x-1

Simple and best practice solution for 3x^2-3x-3=2x-1 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 3x^2-3x-3=2x-1 equation: 


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

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

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

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

Solving for variable 'x'.

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

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

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

Reorder the terms:
-2 + -5x + 3x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
-2 + -5x + 3x2 = 0 + 2x + -2x
-2 + -5x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -5x + 3x2 = 0

Factor a trinomial.
(-1 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.3333333333, 2}

See similar equations:

| -(3/4)x=-(5/6) | | m=28 | | 2x-22=-50 | | 2x/3-2/3=2/3 | | 4=-5/4x-1 | | -(x/9)=1/16 | | X=2x-38 | | 5u^2-30=0 | | -5=c+4 | | X/4=18/24 | | 4(p+-5)=6(p+1) | | -(x/6)=11 | | 5x+10=-7x+7 | | 1=7-2x+8x | | 6x+80=60-10x | | 2/3(x-4)-3(x-5)=3x-7 | | 5x-15+2x=7+7x-22 | | 60=-6(1-b)+5(5b+7) | | 6.5/0.0011= | | 3(4+x)=26 | | 8t/6=3*4 | | (4)(-9)(2)= | | 7a-(3a-8)=12 | | 4/5n-1/5-=/n | | -x/5=.2 | | -4-1/2y=7/4 | | 4x-6=-5x+21 | | 8x-10=-12x+60 | | -1=b | | 3250-m=1500+2m-1000 | | 4n^2=48 | | 3m^2=75m |

Equations solver categories