2a^2+11ab+15b^2=0

Simple and best practice solution for 2a^2+11ab+15b^2=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 2a^2+11ab+15b^2=0 equation: 


Simplifying
2a2 + 11ab + 15b2 = 0

Reorder the terms:
11ab + 2a2 + 15b2 = 0

Solving
11ab + 2a2 + 15b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + 5b)(a + 3b) = 0


Subproblem 1
Set the factor '(2a + 5b)' equal to zero and attempt to solve:

Simplifying
2a + 5b = 0

Solving
2a + 5b = 0

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

Add '-5b' to each side of the equation.
2a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
2a + 0 = 0 + -5b
2a = 0 + -5b
Remove the zero:
2a = -5b

Divide each side by '2'.
a = -2.5b

Simplifying
a = -2.5b

Subproblem 2
Set the factor '(a + 3b)' equal to zero and attempt to solve:

Simplifying
a + 3b = 0

Solving
a + 3b = 0

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

Add '-3b' to each side of the equation.
a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
a + 0 = 0 + -3b
a = 0 + -3b
Remove the zero:
a = -3b

Simplifying
a = -3b
Solution
a = {-2.5b, -3b}

See similar equations:

| 18y^4-9y^3= | | 48y^2-8y^3= | | 5(x-3)=0 | | b^2-4= | | 8a^2-10ab-3b^2= | | -6(t-2)-(t+5)=6 | | -16x^2+16x+5= | | -6(t-9)-(t+3)=10 | | -20z^2+20z+5= | | -3(3n+2)=6 | | 7x-2=3x+6 | | 20m^2+21m+4= | | 6-2x=2x-6 | | x^2+31x-516=0 | | X^3+2x^2+3x+4=0 | | X^2-7x-120=0 | | 4x^2+76x-805=0 | | (y-4)-(y+9)=6y | | (x-2)(3x-3)= | | 5-9[4-(5y-3)]= | | 2+6(x-9)=1-7(x-6) | | 4x^4=864x | | 170x^2-210x-260=0 | | 170x^2-210y-260=0 | | -7y=6x+42 | | 130x^2+20x-110=0 | | (-6+9i)(7+i)= | | 130x^2+210y-260=0 | | 7x-3y=20 | | 9x+2x=3x+2 | | 25x^2-10x+1= | | 70a^2-95a+30=0 |

Equations solver categories