=x^2+17xy+72y^2

Simple and best practice solution for =x^2+17xy+72y^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 =x^2+17xy+72y^2 equation: 


Simplifying
0 = x2 + 17xy + 72y2

Reorder the terms:
0 = 17xy + x2 + 72y2

Solving
0 = 17xy + x2 + 72y2

Solving for variable 'x'.
Remove the zero:
-17xy + -1x2 + -72y2 = 17xy + x2 + 72y2 + -17xy + -1x2 + -72y2

Reorder the terms:
-17xy + -1x2 + -72y2 = 17xy + -17xy + x2 + -1x2 + 72y2 + -72y2

Combine like terms: 17xy + -17xy = 0
-17xy + -1x2 + -72y2 = 0 + x2 + -1x2 + 72y2 + -72y2
-17xy + -1x2 + -72y2 = x2 + -1x2 + 72y2 + -72y2

Combine like terms: x2 + -1x2 = 0
-17xy + -1x2 + -72y2 = 0 + 72y2 + -72y2
-17xy + -1x2 + -72y2 = 72y2 + -72y2

Combine like terms: 72y2 + -72y2 = 0
-17xy + -1x2 + -72y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(17xy + x2 + 72y2) = 0

Factor a trinomial.
-1((x + 8y)(x + 9y)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(x + 8y)' equal to zero and attempt to solve:

Simplifying
x + 8y = 0

Solving
x + 8y = 0

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

Add '-8y' to each side of the equation.
x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
x + 0 = 0 + -8y
x = 0 + -8y
Remove the zero:
x = -8y

Simplifying
x = -8y

Subproblem 2
Set the factor '(x + 9y)' equal to zero and attempt to solve:

Simplifying
x + 9y = 0

Solving
x + 9y = 0

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

Add '-9y' to each side of the equation.
x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
x + 0 = 0 + -9y
x = 0 + -9y
Remove the zero:
x = -9y

Simplifying
x = -9y
Solution
x = {-8y, -9y}

See similar equations:

| 9x=50 | | (x-9)(x+11)=0 | | 5x-12=28 | | (x+9)(x+11)=0 | | 16x=42 | | y^2-20y-20=0 | | 11+8=6x+43 | | 4(x+6)15=21 | | 17x-(3x+5)=3(3x-10) | | 2(-16)= | | =6a^2-48a-120 | | y^2+7y+4=0 | | h=-16t^2+48t+640 | | -8y+3=-7y | | 5x^2+3=8 | | 5x^2+3y=5 | | 11-2n=9-7n | | p^2-20p-105=-9 | | lnx+x=1 | | x+lnx=1 | | 5x+12=2x+36 | | 3x-5q= | | 4.3+-2.1+-2.3=7.6 | | (p-9)(p-9)=-2 | | 3*2x=4 | | 3(9-3x)=8 | | 8x-24=56 | | 2x^2-9x=11 | | 5(x-4)=35+2x | | 45=10y | | 4(4)(8)= | | 2500-4.05x=3000 |

Equations solver categories