-80x^2+176xy-84y^2=

Simple and best practice solution for -80x^2+176xy-84y^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 -80x^2+176xy-84y^2= equation:


Simplifying
-80x2 + 176xy + -84y2 = 0

Reorder the terms:
176xy + -80x2 + -84y2 = 0

Solving
176xy + -80x2 + -84y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(44xy + -20x2 + -21y2) = 0

Factor a trinomial.
4((-10x + 7y)(2x + -3y)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-10x + 7y)' equal to zero and attempt to solve: Simplifying -10x + 7y = 0 Solving -10x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -10x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -10x + 0 = 0 + -7y -10x = 0 + -7y Remove the zero: -10x = -7y Divide each side by '-10'. x = 0.7y Simplifying x = 0.7y

Subproblem 2

Set the factor '(2x + -3y)' equal to zero and attempt to solve: Simplifying 2x + -3y = 0 Solving 2x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 0 + 3y 2x = 0 + 3y Remove the zero: 2x = 3y Divide each side by '2'. x = 1.5y Simplifying x = 1.5y

Solution

x = {0.7y, 1.5y}

See similar equations:

| x-3+3=0 | | 1000(x)=25+9x | | 2x-3+x+11=-3x-6+12x | | x-3+0=0 | | x-3-1=0 | | 50-3x=12+2x | | 11x+13y=160 | | 5(x+13)=2x+75 | | -1x-2=-1 | | 80-12x=38 | | f(x)=lnx^6 | | 45=2/t^2-t | | 45=t^2-t/2 | | 1/3-6/7u=-1/2 | | -0.00635x^2+630=0 | | -2(5x-5)+3(4x+2)+10x(10x+5)=5(12x+3)+2x-29 | | 4^13/4^7 | | 9m+5m-4n+6n=0 | | 8x-9=10x+23 | | 7(5x+2)=33 | | Y^2+32y+240=0 | | (5-9x)(6+3x)=0 | | -3x+7=4x-3 | | 3(x+z)= | | Y=-2+-5x | | 8m+6n-3m+2n=0 | | 15b-8c+2b-2c=0 | | y=3(-1/5)-6 | | 7(x+8)=4[x-(3-x)] | | 2q+438=942 | | 5x+20x=74findx | | 3(9x-2)+9=2(x+5) |

Equations solver categories