6x^2+6x+6=11x+10

Simple and best practice solution for 6x^2+6x+6=11x+10 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 6x^2+6x+6=11x+10 equation: 


Simplifying
6x2 + 6x + 6 = 11x + 10

Reorder the terms:
6 + 6x + 6x2 = 11x + 10

Reorder the terms:
6 + 6x + 6x2 = 10 + 11x

Solving
6 + 6x + 6x2 = 10 + 11x

Solving for variable 'x'.

Reorder the terms:
6 + -10 + 6x + -11x + 6x2 = 10 + 11x + -10 + -11x

Combine like terms: 6 + -10 = -4
-4 + 6x + -11x + 6x2 = 10 + 11x + -10 + -11x

Combine like terms: 6x + -11x = -5x
-4 + -5x + 6x2 = 10 + 11x + -10 + -11x

Reorder the terms:
-4 + -5x + 6x2 = 10 + -10 + 11x + -11x

Combine like terms: 10 + -10 = 0
-4 + -5x + 6x2 = 0 + 11x + -11x
-4 + -5x + 6x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-4 + -5x + 6x2 = 0

Factor a trinomial.
(-1 + -2x)(4 + -3x) = 0


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-0.5, 1.333333333}

See similar equations:

| sin*4x=-1 | | 3x+7x+40=20x+120 | | -36-8x=-2(7x-6) | | r-6-8=-18 | | 2x-3y-x=10 | | n=qcz | | 19=6v-8+3v | | -4=k+3/4 | | 8=4s+20 | | -6x-2y=60 | | Y-6=2(x+-5) | | 3(2x+4)=8x-7 | | x^2+6x+5=10 | | 2-5y/6)﷯4 | | 8x-80+(-2x-116)=180 | | -3(x+5)=8x+13 | | 0=5n+3n | | 2-(x+4)-2x=-5(x-2) | | v-1+2=9 | | 3x+y-7=5 | | 7n+6-8=19 | | 4x+6y=-96 | | 3b+2b=-20 | | 2x-2y=12-3y | | 6-4=46 | | 0.3x+5= | | c/11=2 | | 11=p+1 | | Ln4.89/ln10 | | 3=7p | | 3.5x=2.4x+33 | | y-4=-1/3(x-5) |

Equations solver categories