3x^2-2x=12x+5

Simple and best practice solution for 3x^2-2x=12x+5 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^2-2x=12x+5 equation: 


Simplifying
3x2 + -2x = 12x + 5

Reorder the terms:
-2x + 3x2 = 12x + 5

Reorder the terms:
-2x + 3x2 = 5 + 12x

Solving
-2x + 3x2 = 5 + 12x

Solving for variable 'x'.

Reorder the terms:
-5 + -2x + -12x + 3x2 = 5 + 12x + -5 + -12x

Combine like terms: -2x + -12x = -14x
-5 + -14x + 3x2 = 5 + 12x + -5 + -12x

Reorder the terms:
-5 + -14x + 3x2 = 5 + -5 + 12x + -12x

Combine like terms: 5 + -5 = 0
-5 + -14x + 3x2 = 0 + 12x + -12x
-5 + -14x + 3x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -14x + 3x2 = 0

Factor a trinomial.
(-1 + -3x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-0.3333333333, 5}

See similar equations:

| Y/4-12=27 | | 2x+7-5x=4 | | 18=4j+6 | | 3x+9-19=8x-2+6 | | 38=7x-3x+6 | | m=4(2x+6) | | 2x-22y=14 | | p^2=3p+4 | | 12/x=x^2 | | H(t)=-16t^2+12t+25 | | 5x-1+5x=-81 | | (-16t^2)+24t+9=18t | | 50=100-5x | | 18=2x-6x+2 | | -58=5x-8 | | 3/4x-3.2=5.3-2/3x | | 119y-98x+840=0 | | 3^-3/3^6 | | x=4.33+1.667y | | 3x(squared)+x+2=0 | | 6y-8=7y-1 | | 15w^2-13w+2=0 | | 4.8-7.6=1.2+15.8 | | 3cosx=sinx-1 | | ([(x^1/4)(y^2/5)]^20)/x^2 | | 4/9y-12=1/4y- | | 4/9y-12=1/4y-4 | | 36-95d-72-4d+7+3d= | | log(7x+3)=8 | | [(x^1/4)(y^2/5)]^2 | | -6v-30=-9(v+2) | | -26=6(v-5)-8v |

Equations solver categories