a^2+10ab-39b^2=0

Simple and best practice solution for a^2+10ab-39b^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 a^2+10ab-39b^2=0 equation:


Simplifying
a2 + 10ab + -39b2 = 0

Reorder the terms:
10ab + a2 + -39b2 = 0

Solving
10ab + a2 + -39b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -3b)(a + 13b) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(a + 13b)' equal to zero and attempt to solve: Simplifying a + 13b = 0 Solving a + 13b = 0 Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. a + 13b + -13b = 0 + -13b Combine like terms: 13b + -13b = 0 a + 0 = 0 + -13b a = 0 + -13b Remove the zero: a = -13b Simplifying a = -13b

Solution

a = {3b, -13b}

See similar equations:

| x^2-6xy+5y^2=0 | | x^2-14xy-51y^2=0 | | q^2+11qr+18r^2=0 | | 33x^2=-22x | | 4n-11=5+8n | | 4+-2x+3x^2=0 | | 3f=2(f+8) | | 3.3333333333333333333333333333333333333333333333333333333f-6=-8 | | -42-m+m^2=0 | | 12-8x+8=11-7x+14 | | -24-10x+x^2=0 | | -3+5(6-k)=4(1-2k) | | 40-22x+x^2=0 | | 44+15h+h^2=0 | | 8b^2+6b+1=0 | | 69-3x=15x+21 | | 3x^2=2x-4 | | 4y^2+7y=15 | | x^2+6x=6x-1 | | 2p+13=3 | | 6x-1=x^2+6x | | 45+x+x=180 | | 10n=5o | | 4x-3=67-x | | 6k=70 | | -22-10x=9x+24 | | 3r^2-39r+90=0 | | 3r^2-39+90=0 | | x^4+6x^2=27 | | solvex^4+6x^2=27 | | 4(5x+5)=2(7x+6) | | 1.3y-2.7=0.5y+3.78 |

Equations solver categories