x^2+3x-6=6x-2

Simple and best practice solution for x^2+3x-6=6x-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+3x-6=6x-2 equation: 


Simplifying
x2 + 3x + -6 = 6x + -2

Reorder the terms:
-6 + 3x + x2 = 6x + -2

Reorder the terms:
-6 + 3x + x2 = -2 + 6x

Solving
-6 + 3x + x2 = -2 + 6x

Solving for variable 'x'.

Reorder the terms:
-6 + 2 + 3x + -6x + x2 = -2 + 6x + 2 + -6x

Combine like terms: -6 + 2 = -4
-4 + 3x + -6x + x2 = -2 + 6x + 2 + -6x

Combine like terms: 3x + -6x = -3x
-4 + -3x + x2 = -2 + 6x + 2 + -6x

Reorder the terms:
-4 + -3x + x2 = -2 + 2 + 6x + -6x

Combine like terms: -2 + 2 = 0
-4 + -3x + x2 = 0 + 6x + -6x
-4 + -3x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -3x + x2 = 0

Factor a trinomial.
(-1 + -1x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1, 4}

See similar equations:

| Y=16x^2-56x+49-y^2 | | x^2+y^2-10x+2y=23 | | 6.25/6 | | 4t^2+11t-20= | | x^2-16x-34=-8x-1 | | 300x^2-363=0 | | 3x+5(X+3)=15x+1 | | x^2+16x-34=-8x-1 | | 6g^3-10g^5/2g | | y^2-9y-18=0 | | 5m-4=3m+6 | | f(x)=16x^2-56x+49-y^2 | | 1.33333333333+6y=9 | | 3(3x)=y | | 0.09xX=73.26 | | 2(6x+2)=15 | | 350=17w-180 | | x/3-x/4=5/6 | | 350=180-17w | | -2+2x=-3 | | 18+4.5=6m+12 | | 2(6x+2)=25 | | 2n+18=38 | | 2.0833333333333333x=5.6666666666666666666 | | Log(x^2+5x+16)=1 | | (X-3)(3x+2)=y | | ln(4x)=5.2 | | 3=3y+9x | | 0=x^2-26x+48 | | -8n+20n= | | 2x+y=300000000 | | 1.5(q-4)2=4 |

Equations solver categories