4x^2y^2-34xy^2-84y^2=0

Simple and best practice solution for 4x^2y^2-34xy^2-84y^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 4x^2y^2-34xy^2-84y^2=0 equation:


Simplifying
4x2y2 + -34xy2 + -84y2 = 0

Reorder the terms:
-34xy2 + 4x2y2 + -84y2 = 0

Solving
-34xy2 + 4x2y2 + -84y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-17x + 2x2 + -42) = 0

Factor a trinomial.
2y2((2x + -21)(x + 2)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2x + -21)' equal to zero and attempt to solve: Simplifying 2x + -21 = 0 Reorder the terms: -21 + 2x = 0 Solving -21 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 0 + 21 2x = 0 + 21 Combine like terms: 0 + 21 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5

Subproblem 3

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

Solution

x = {10.5, -2}

See similar equations:

| 0=4x^2+12x+5 | | 2x^2+3y^2=6 | | r-30=-20 | | 3y-17+y+7=180 | | 54.5+2x+2=180 | | y+7+3y-17=180 | | 18x(4+5x)=13 | | x+56+y+7=180 | | 2x+2+x+56=180 | | 3x+30=4x+6 | | 6x-12=3x | | 13x-23= | | 4x+17=37 | | 4x+17=r | | 13x-23=9x+33 | | 11x+2=t | | 2.2+1x=26.2 | | 2x^4-6x^2=0 | | x+(4x+30)+2(4x+30)=580 | | r^2+3r=7 | | 3x^3-5x^2-12x=0 | | x+40+25=180 | | x+(4x+10)+2(4x+10)=1280 | | 58+47+x=180 | | -8v^2-34v-15=0 | | 10-(2x-5)=x | | log(3)=log(5)+log(x-4) | | (2x+5)-(x-6)(x)= | | 30x+700=4300 | | (2x-5)+(x+6)(x)= | | 7m-8=69 | | 5(15x+100)=1100 |

Equations solver categories