x^2+5x=2x+18

Simple and best practice solution for x^2+5x=2x+18 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+5x=2x+18 equation: 


Simplifying
x2 + 5x = 2x + 18

Reorder the terms:
5x + x2 = 2x + 18

Reorder the terms:
5x + x2 = 18 + 2x

Solving
5x + x2 = 18 + 2x

Solving for variable 'x'.

Reorder the terms:
-18 + 5x + -2x + x2 = 18 + 2x + -18 + -2x

Combine like terms: 5x + -2x = 3x
-18 + 3x + x2 = 18 + 2x + -18 + -2x

Reorder the terms:
-18 + 3x + x2 = 18 + -18 + 2x + -2x

Combine like terms: 18 + -18 = 0
-18 + 3x + x2 = 0 + 2x + -2x
-18 + 3x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 3x + x2 = 0

Factor a trinomial.
(-6 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-6, 3}

See similar equations:

| 4m+12=8m | | .6-(4+x)=8x-2(3x+5) | | 4-5(-2y+6)=24 | | -13-2b-b=-10 | | 3m-m=102 | | -11x+10(x+8)=-x-6 | | -8x-6=x+6 | | 4z^2-20+25=0 | | (-3)5x(-3)2=(-3)x | | -7-2(1-3x)=46+11x | | y-z=r | | .75x+12=8 | | m^2-8m=-15 | | 12-(2p)=8(p+4) | | x+3x=.108 | | .4x+8x=-9+17x-1 | | 4(-5p+12)=-10p-32 | | ln(x-9)+ln(x-2)=ln(78) | | (2x^2)-4x+2=0 | | r=5cos(40) | | -50-x=-2(3x-5) | | 6(g-2)=-18 | | 8a+4a=44 | | x^2+8x-20=x^2+5x+4 | | 3(x-2)=5x+6 | | 3(2x+5)=3x+4 | | -50+5n=4(9n+3) | | y=2E-11x^2-2E-07x+0.0004 | | 12x+16y=48 | | 11+3.5x=34 | | 24=2.25(6-x)+2.25(6+x) | | 35-6n=-11n+8(-n-7) |

Equations solver categories