a^2-2ab-8b^2=0

Simple and best practice solution for a^2-2ab-8b^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^2-2ab-8b^2=0 equation:


Simplifying
a2 + -2ab + -8b2 = 0

Reorder the terms:
-2ab + a2 + -8b2 = 0

Solving
-2ab + a2 + -8b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -4b)(a + 2b) = 0

Subproblem 1

Set the factor '(a + -4b)' equal to zero and attempt to solve: Simplifying a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4b

Subproblem 2

Set the factor '(a + 2b)' equal to zero and attempt to solve: Simplifying a + 2b = 0 Solving a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 a + 0 = 0 + -2b a = 0 + -2b Remove the zero: a = -2b Simplifying a = -2b

Solution

a = {4b, -2b}

See similar equations:

| -2+(3)=x | | 3x^4-7x^3+16x^2-28x+16=0 | | 2y+2w= | | -b^2-5b+24=0 | | y=e^5 | | f(x)=x^2-4x+53 | | ax(bxc)=b(a*c)-c(a*b) | | y=e^1 | | 5-4[5-(2y-4)]=0 | | -5-7=x | | 2w-2x-y+7w+14x-4y= | | -2+(-3)=x | | 2q^2+9qd-35d^2=0 | | 10x+22y=80 | | y=e^3 | | 5=3+1y | | 3(5y+3)-9y-13= | | 9x-3y+11w-2y-2w+3x= | | 2+4x+34-57= | | 5x-4[4-(5-3x)]=0 | | 2x^3+7x^2+2x+7=0 | | 3x^3-x^2-9x-3=0 | | 7(x+1)-9x= | | 4(3x-5)=76 | | 28a^2+80ab-12b^2=0 | | 3(2x+5)-x-7= | | 2*x^2-x-1=0 | | x^3+17x^2=0 | | 30c^2+17cb-35b^2=0 | | 4c-7d-5c-d= | | 2(3x-1)=3(4x+9) | | 6w+10y+3x+9x-15y+4w= |

Equations solver categories