(2x^2+5xy)x(5y-x)=0

Simple and best practice solution for (2x^2+5xy)x(5y-x)=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 (2x^2+5xy)x(5y-x)=0 equation: 


Simplifying
(2x2 + 5xy) * x(5y + -1x) = 0

Reorder the terms:
(5xy + 2x2) * x(5y + -1x) = 0

Reorder the terms:
(5xy + 2x2) * x(-1x + 5y) = 0

Reorder the terms for easier multiplication:
x(5xy + 2x2)(-1x + 5y) = 0

Multiply (5xy + 2x2) * (-1x + 5y)
x(5xy * (-1x + 5y) + 2x2 * (-1x + 5y)) = 0
x((-1x * 5xy + 5y * 5xy) + 2x2 * (-1x + 5y)) = 0

Reorder the terms:
x((25xy2 + -5x2y) + 2x2 * (-1x + 5y)) = 0
x((25xy2 + -5x2y) + 2x2 * (-1x + 5y)) = 0
x(25xy2 + -5x2y + (-1x * 2x2 + 5y * 2x2)) = 0

Reorder the terms:
x(25xy2 + -5x2y + (10x2y + -2x3)) = 0
x(25xy2 + -5x2y + (10x2y + -2x3)) = 0

Combine like terms: -5x2y + 10x2y = 5x2y
x(25xy2 + 5x2y + -2x3) = 0
(25xy2 * x + 5x2y * x + -2x3 * x) = 0
(25x2y2 + 5x3y + -2x4) = 0

Solving
25x2y2 + 5x3y + -2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(25y2 + 5xy + -2x2) = 0

Factor a trinomial.
x2((5y + -1x)(5y + 2x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(5y + -1x)' equal to zero and attempt to solve:

Simplifying
5y + -1x = 0

Reorder the terms:
-1x + 5y = 0

Solving
-1x + 5y = 0

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

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 0 + -5y
-1x = 0 + -5y
Remove the zero:
-1x = -5y

Divide each side by '-1'.
x = 5y

Simplifying
x = 5y

Subproblem 3
Set the factor '(5y + 2x)' equal to zero and attempt to solve:

Simplifying
5y + 2x = 0

Reorder the terms:
2x + 5y = 0

Solving
2x + 5y = 0

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

Add '-5y' to each side of the equation.
2x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 0 + -5y
2x = 0 + -5y
Remove the zero:
2x = -5y

Divide each side by '2'.
x = -2.5y

Simplifying
x = -2.5y
Solution
x = {0, 5y, -2.5y}

See similar equations:

| (12+n)*(13+n)=200 | | 2SinaCosb-Sina=0 | | m^3-7m^2+6=0 | | x^3+2x^2+5x+7=0 | | 6xy=288 | | 4(4x-2)=6(2x+3) | | 7(7+2x)=3(9x-1) | | 9=5ab | | 120=3x^3-6x^2-300x+1800 | | 100=0.7x | | 5(2-4t)=2t-8 | | 19.5x+14.5y=34 | | t^2+10t+100=0 | | 5x+4=3(2x+7)-9 | | 19.5x+14.5y=17 | | 8x+7=35x-12 | | 0=(x+21)(x-5) | | x^2+2x^2=73 | | x+4=3:5 | | 6(2l+8)=60 | | 0=n*-36n+228 | | 3a(a-5)-3a(a+7)=72 | | 1-x=2x-2 | | 3sin(2x)+2cos^2(x)=10 | | 2x-6=3x-2answer | | y=4x-29 | | y-3=x-8 | | Y=k(x-2)+3 | | 151=16t^2+32t | | (x+8)2=(2x+3)2 | | y-6=10(x-6) | | 89=16t^2+32t |

Equations solver categories