=y^2+8xy+16x^2

Simple and best practice solution for =y^2+8xy+16x^2 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 =y^2+8xy+16x^2 equation: 


Simplifying
0 = y2 + 8xy + 16x2

Reorder the terms:
0 = 8xy + 16x2 + y2

Solving
0 = 8xy + 16x2 + y2

Solving for variable 'x'.
Remove the zero:
-8xy + -16x2 + -1y2 = 8xy + 16x2 + y2 + -8xy + -16x2 + -1y2

Reorder the terms:
-8xy + -16x2 + -1y2 = 8xy + -8xy + 16x2 + -16x2 + y2 + -1y2

Combine like terms: 8xy + -8xy = 0
-8xy + -16x2 + -1y2 = 0 + 16x2 + -16x2 + y2 + -1y2
-8xy + -16x2 + -1y2 = 16x2 + -16x2 + y2 + -1y2

Combine like terms: 16x2 + -16x2 = 0
-8xy + -16x2 + -1y2 = 0 + y2 + -1y2
-8xy + -16x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-8xy + -16x2 + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8xy + 16x2 + y2) = 0

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

Ignore the factor -1.

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

Simplifying
4x + y = 0

Solving
4x + y = 0

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

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

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

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y

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

Simplifying
4x + y = 0

Solving
4x + y = 0

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

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

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

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y
Solution
x = {-0.25y, -0.25y}

See similar equations:

| (2-i)(3i-2)=0 | | v^2-3v-18/2v^2-72 | | 2w+20=380 | | 4(n-3)=-28 | | 44225-400= | | -y+2x=0 | | 8m+2=-14 | | 16+x=-4(1+x) | | 5x^4+60x^3=0 | | 5.5+6(1+5b)=-16.5 | | 6+2t=20 | | (9+2x)5=13+(6)x | | 7x-3=0.5y+8 | | (1/2)^5-3t | | x^2-x-600= | | 7x-3=-4x+8 | | 127+(2x+41)=180 | | 3.06(-1.5)= | | 8x+9=0 | | 7x+-9=51 | | 7v-22=4v+11 | | -9-5x=-6-16 | | 2.7*b=54 | | 0.18y+0.03(y+7000)=1680 | | 8x^3-24x+1=0 | | 15-2f=1 | | x/6=2x+52*6 | | 13+7f=-1 | | 7x+1=169-7x | | 4.6+.19=55.39 | | 8-(3z-5)=2-4z | | -6+3q=6 |

Equations solver categories