2x^2+6x=3x+20

Simple and best practice solution for 2x^2+6x=3x+20 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 2x^2+6x=3x+20 equation: 


Simplifying
2x2 + 6x = 3x + 20

Reorder the terms:
6x + 2x2 = 3x + 20

Reorder the terms:
6x + 2x2 = 20 + 3x

Solving
6x + 2x2 = 20 + 3x

Solving for variable 'x'.

Reorder the terms:
-20 + 6x + -3x + 2x2 = 20 + 3x + -20 + -3x

Combine like terms: 6x + -3x = 3x
-20 + 3x + 2x2 = 20 + 3x + -20 + -3x

Reorder the terms:
-20 + 3x + 2x2 = 20 + -20 + 3x + -3x

Combine like terms: 20 + -20 = 0
-20 + 3x + 2x2 = 0 + 3x + -3x
-20 + 3x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 3x + 2x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -2x) = 0


Subproblem 1
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

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-4, 2.5}

See similar equations:

| 0.1a=0.2(a+2) | | -114=3(4x-6) | | z(z+9)=1 | | Cx-4=dx+9 | | f(x)=(2x^2)-20x+54 | | -3*3+2=3 | | 10-(x-1)=8x-3+7x | | 3(h+9)=4 | | K^2+5x-14=0 | | X+X+9+3X= | | (x)(x)+5x= | | X-28+x+12=180 | | 4m+4m=5m+3 | | 7x^6-21x^5=0 | | 4+3x-3=7 | | a+13=2a-13 | | 0.16x+0.20(5-x)=0.9 | | n+(2n-9)+(3n+6)=123 | | 19.95-0.55=95.30 | | 8(m+7)=9m | | 8x-3=-75 | | 3(6z-1)2(z+3)=14(z+1) | | f(x)=20+0.15x | | (x^14)6= | | 5x+6x-20=80-9x | | -9=-7r-2r | | F(X)=7+4x | | x+2=-1-x | | 4x-9+2x+27=90 | | 7(3b-4)= | | 8+x=-7x-16 | | a+bi=34+14i |

Equations solver categories