=(5x+2y)(5x+3y)

Simple and best practice solution for =(5x+2y)(5x+3y) 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 =(5x+2y)(5x+3y) equation: 


Simplifying
0 = (5x + 2y)(5x + 3y)

Multiply (5x + 2y) * (5x + 3y)
0 = (5x * (5x + 3y) + 2y * (5x + 3y))
0 = ((5x * 5x + 3y * 5x) + 2y * (5x + 3y))

Reorder the terms:
0 = ((15xy + 25x2) + 2y * (5x + 3y))
0 = ((15xy + 25x2) + 2y * (5x + 3y))
0 = (15xy + 25x2 + (5x * 2y + 3y * 2y))
0 = (15xy + 25x2 + (10xy + 6y2))

Reorder the terms:
0 = (15xy + 10xy + 25x2 + 6y2)

Combine like terms: 15xy + 10xy = 25xy
0 = (25xy + 25x2 + 6y2)

Solving
0 = 25xy + 25x2 + 6y2

Solving for variable 'x'.
Remove the zero:
-25xy + -25x2 + -6y2 = 25xy + 25x2 + 6y2 + -25xy + -25x2 + -6y2

Reorder the terms:
-25xy + -25x2 + -6y2 = 25xy + -25xy + 25x2 + -25x2 + 6y2 + -6y2

Combine like terms: 25xy + -25xy = 0
-25xy + -25x2 + -6y2 = 0 + 25x2 + -25x2 + 6y2 + -6y2
-25xy + -25x2 + -6y2 = 25x2 + -25x2 + 6y2 + -6y2

Combine like terms: 25x2 + -25x2 = 0
-25xy + -25x2 + -6y2 = 0 + 6y2 + -6y2
-25xy + -25x2 + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-25xy + -25x2 + -6y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(25xy + 25x2 + 6y2) = 0

Factor a trinomial.
-1((5x + 2y)(5x + 3y)) = 0

Ignore the factor -1.

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

Simplifying
5x + 2y = 0

Solving
5x + 2y = 0

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

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

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

Divide each side by '5'.
x = -0.4y

Simplifying
x = -0.4y

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

Simplifying
5x + 3y = 0

Solving
5x + 3y = 0

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

Add '-3y' to each side of the equation.
5x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 0 + -3y
5x = 0 + -3y
Remove the zero:
5x = -3y

Divide each side by '5'.
x = -0.6y

Simplifying
x = -0.6y
Solution
x = {-0.4y, -0.6y}

See similar equations:

| 6(1x-10)=-30 | | 10+x+(5x+3)= | | w^2+52-672=0 | | 2(3x-4)=-2 | | 15p-50=26 | | 5(4-6x)=20 | | 2(x-3)5=3 | | 3x+8y=y | | 48y+24= | | 3(6x-10)=138 | | w^2-1-15=0 | | 4-(2x+9)=-28 | | (1680/x)=8.4 | | -6(3+x)=36 | | -18Y+2+5Y=2Y+12 | | 5f+f-4f= | | 6(2x+4)=156 | | -2/3(4/3) | | 6(9+2x)=186 | | 3(4+2x)=-54 | | 18=w(17) | | F(x)=-3x^2+12r+5 | | 44-47x=97y | | (2y+1)24= | | x^2+3x-4030=0 | | 72=6m-36 | | 4=-3(2x+1)+7x | | X^2+3x=4030 | | (-8x+12)5= | | x(x-13)=22 | | 6(-9+2x)=18 | | 3z+3z=5z+9 |

Equations solver categories