15x^2+37x+20=0

Simple and best practice solution for 15x^2+37x+20=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 15x^2+37x+20=0 equation: 


Simplifying
15x2 + 37x + 20 = 0

Reorder the terms:
20 + 37x + 15x2 = 0

Solving
20 + 37x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 3x)(4 + 5x) = 0


Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 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 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-1.666666667, -0.8}

See similar equations:

| 4x+5=3x+26 | | 15x^2+3x+20=0 | | 7x=2x-3+5x-4+x | | 10x^2-6+4x-9x^2-13= | | 4x-2x=3+5x | | 18+n=-2 | | 5(9+3x)-3=15 | | 11x-2=9x-8 | | 7-5m=-12-14m | | 8x=(2x-9) | | 35=-5+2x+7x | | 6x+4=4x-10 | | -14+m=-12 | | 0=2x^2+3x-7.25 | | -8x^2+3x-2x^2+4= | | x=2.5y-3 | | 4(x+3)+8x=9(4x+9)-9x | | -6=3+z | | 3*(x-2)=12 | | 16x^2-64x+65=0 | | 3(x-8)+15=6 | | 44=2a | | 6x^2+4x-2-13x^2= | | 25a-12=15a+8 | | 9x-4=140 | | (x-12)= | | 7=18+x | | x=-10y+3 | | x+x+8+x+16=888 | | 15n=105 | | 2x+x+6x=180 | | x=5y+8 |

Equations solver categories