=(7x-2y)(5x-3y)

Simple and best practice solution for =(7x-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 =(7x-2y)(5x-3y) equation: 


Simplifying
0 = (7x + -2y)(5x + -3y)

Multiply (7x + -2y) * (5x + -3y)
0 = (7x * (5x + -3y) + -2y * (5x + -3y))
0 = ((5x * 7x + -3y * 7x) + -2y * (5x + -3y))

Reorder the terms:
0 = ((-21xy + 35x2) + -2y * (5x + -3y))
0 = ((-21xy + 35x2) + -2y * (5x + -3y))
0 = (-21xy + 35x2 + (5x * -2y + -3y * -2y))
0 = (-21xy + 35x2 + (-10xy + 6y2))

Reorder the terms:
0 = (-21xy + -10xy + 35x2 + 6y2)

Combine like terms: -21xy + -10xy = -31xy
0 = (-31xy + 35x2 + 6y2)

Solving
0 = -31xy + 35x2 + 6y2

Solving for variable 'x'.
Remove the zero:
31xy + -35x2 + -6y2 = -31xy + 35x2 + 6y2 + 31xy + -35x2 + -6y2

Reorder the terms:
31xy + -35x2 + -6y2 = -31xy + 31xy + 35x2 + -35x2 + 6y2 + -6y2

Combine like terms: -31xy + 31xy = 0
31xy + -35x2 + -6y2 = 0 + 35x2 + -35x2 + 6y2 + -6y2
31xy + -35x2 + -6y2 = 35x2 + -35x2 + 6y2 + -6y2

Combine like terms: 35x2 + -35x2 = 0
31xy + -35x2 + -6y2 = 0 + 6y2 + -6y2
31xy + -35x2 + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
31xy + -35x2 + -6y2 = 0

Factor a trinomial.
(-7x + 2y)(5x + -3y) = 0


Subproblem 1
Set the factor '(-7x + 2y)' equal to zero and attempt to solve:

Simplifying
-7x + 2y = 0

Solving
-7x + 2y = 0

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

Add '-2y' to each side of the equation.
-7x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
-7x + 0 = 0 + -2y
-7x = 0 + -2y
Remove the zero:
-7x = -2y

Divide each side by '-7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y

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 = {0.2857142857y, 0.6y}

See similar equations:

| 2n-5=14-n | | 3-(2x+7)=3(4x-1)-1 | | 12-196=9x-3 | | 2C^5=6 | | 55=0.65x+56 | | 55=0.5x-56 | | A=1/2*(3x-2)(4x) | | 9p+5v=9 | | 0.2/13x^-6x20 | | 4x+5y=8Y-3x | | 34x+1=100x-45 | | 55=0.5x+57 | | y=0.5x+55 | | 3(X-3)=34 | | 6x-2x+6=11-8x+1 | | 3(x-5)-5(x-3)=x+5-(x-1) | | 3+5/3+8/11=x | | 12y-7=16y+17 | | 7x^4-18x^2-9=0 | | -49-16(x-2)-2+4= | | ln(2x+1)=x+3 | | 7x+40y=404 | | 5-6y-9y+4x-3x-10= | | 7-5[2(3x)-(16)]=0 | | 2(12/x) | | -lnx=6+lnx | | 2(12/l) | | 7-5[2(3x)-(2-6)(2-6)]=0 | | 1/5x=-2/3 | | 3(2r+2)=4(2r-1) | | 5x-5=1+4x | | 3-8/3•8 |

Equations solver categories