18x^2+51x+21=0

Simple and best practice solution for 18x^2+51x+21=0 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 18x^2+51x+21=0 equation: 


Simplifying
18x2 + 51x + 21 = 0

Reorder the terms:
21 + 51x + 18x2 = 0

Solving
21 + 51x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + 17x + 6x2) = 0

Factor a trinomial.
3((7 + 3x)(1 + 2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
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
Solution
x = {-2.333333333, -0.5}

See similar equations:

| 42=e-7 | | 9-3k=17-k | | -6-(-9)/3 | | 84/280= | | (2x+4)dx+(3y-1)dy=0 | | 16w=7w+27 | | (2/5x)(5y)(-2x)= | | 2.5-y= | | y=(5-3x)/(7-4x) | | 6-3x-2=-4x | | t-42=24 | | x=(5-3y)/(7-4y) | | 59=k-4 | | 5(a^2)+6a-8=0 | | 4=62-e | | X+11v+4x-v= | | 79-x=1 | | 60-x=41 | | 11+5z=6 | | 4=87-y | | (4y^2)+3y-1=0 | | (5x-9)(9x+8)=0 | | 90-m=1 | | 96-p=63 | | (9k^2)-9k+2=0 | | 26t+5a-4t-2= | | r-28=33 | | 84-v=29 | | (7z^2)-10z+3=0 | | 71-x=22 | | 8x-5=2x+11 | | 47=c-31 |

Equations solver categories