(4y+av)(y-2av)=

Simple and best practice solution for (4y+av)(y-2av)= 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 (4y+av)(y-2av)= equation: 


Simplifying
(4y + av)(y + -2av) = 0

Reorder the terms:
(av + 4y)(y + -2av) = 0

Reorder the terms:
(av + 4y)(-2av + y) = 0

Multiply (av + 4y) * (-2av + y)
(av(-2av + y) + 4y * (-2av + y)) = 0
((-2av * av + y * av) + 4y * (-2av + y)) = 0

Reorder the terms:
((avy + -2a2v2) + 4y * (-2av + y)) = 0
((avy + -2a2v2) + 4y * (-2av + y)) = 0
(avy + -2a2v2 + (-2av * 4y + y * 4y)) = 0
(avy + -2a2v2 + (-8avy + 4y2)) = 0

Reorder the terms:
(avy + -8avy + -2a2v2 + 4y2) = 0

Combine like terms: avy + -8avy = -7avy
(-7avy + -2a2v2 + 4y2) = 0

Solving
-7avy + -2a2v2 + 4y2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1av + -4y)(2av + -1y) = 0


Subproblem 1
Set the factor '(-1av + -4y)' equal to zero and attempt to solve:

Simplifying
-1av + -4y = 0

Solving
-1av + -4y = 0

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

Add '4y' to each side of the equation.
-1av + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
-1av + 0 = 0 + 4y
-1av = 0 + 4y
Remove the zero:
-1av = 4y

Divide each side by '-1v'.
a = -4v-1y

Simplifying
a = -4v-1y

Subproblem 2
Set the factor '(2av + -1y)' equal to zero and attempt to solve:

Simplifying
2av + -1y = 0

Solving
2av + -1y = 0

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

Add 'y' to each side of the equation.
2av + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2av + 0 = 0 + y
2av = 0 + y
Remove the zero:
2av = y

Divide each side by '2v'.
a = 0.5v-1y

Simplifying
a = 0.5v-1y
Solution
a = {-4v-1y, 0.5v-1y}

See similar equations:

| (m+5)(m^2-4)= | | (2b+c)(3b+2c)= | | -15=3x-3 | | (4x-3)(2x-1)= | | 20=x/(0.5+6x) | | 3=x/(0.5+6x) | | 3=0.5x+(0.5x+6) | | 7-4[3-(4y-5)]= | | (2x-2y)(x+2y)= | | 7x+8=9x-8 | | (y-tx)(8y-tx)= | | (x+y)(4x-5y)= | | 8x-3[5-(7-6x)]= | | (x+y^2)(x-5y^2)= | | (x-nu)*(9x+3nu)= | | (y+2bx^2)*(2y-3bx^2)= | | 6y-2x=-8 | | 4x-4+3x+12=6x+3 | | 3x+17+x+53=180 | | 5x^2-20x-160= | | h(t)=-16t^2+32t+14 | | 3x+19=11x-53 | | Iz+3z=11+9i | | 5a^2-a^3=0 | | 20=15-z | | 20=30-2 | | -7x+7=-14 | | 8(5-2x)=40 | | 2x-1=12x+36 | | 3x+7=2x-9 | | 2x^2-24x-26=0 | | (7+4a)=(5+2b) |

Equations solver categories