2x^2+8x=5x+20

Simple and best practice solution for 2x^2+8x=5x+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+8x=5x+20 equation: 


Simplifying
2x2 + 8x = 5x + 20

Reorder the terms:
8x + 2x2 = 5x + 20

Reorder the terms:
8x + 2x2 = 20 + 5x

Solving
8x + 2x2 = 20 + 5x

Solving for variable 'x'.

Reorder the terms:
-20 + 8x + -5x + 2x2 = 20 + 5x + -20 + -5x

Combine like terms: 8x + -5x = 3x
-20 + 3x + 2x2 = 20 + 5x + -20 + -5x

Reorder the terms:
-20 + 3x + 2x2 = 20 + -20 + 5x + -5x

Combine like terms: 20 + -20 = 0
-20 + 3x + 2x2 = 0 + 5x + -5x
-20 + 3x + 2x2 = 5x + -5x

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

| 8z+6=7z-2 | | 6*0-4y=12 | | 64=0.20x+28 | | 10(x-8)=15(2x-2) | | x^2+2x=6-6x | | 6x-4*0=12 | | (k-4)9=3 | | 3x+15=27 | | 2(3x-1)+10=55 | | y=0.20(100)+28 | | 8c= | | .5x^2-x=8 | | y=0.20(50)+28 | | 7a-9a= | | 7f+18=4f-33 | | 6x^2+31x=12 | | 11.17=2.49+1.24p | | 3x^2-5x-4=0 | | 2(3x)+10=55 | | 100=80+4c | | 9x-5y=85 | | 2-x=0 | | 20x^2+375x-3=0 | | 4a-5=11 | | 6-3y=y+2 | | x^2+5x+3=0 | | 0.4x=2.5 | | 42+6a=58 | | 42+34= | | 2m^3-15m^2-8m=0 | | 2(x+4)+14=70 | | 4s-5=11 |

Equations solver categories