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

Simple and best practice solution for (7x-2y)(5x-3y)=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 (7x-2y)(5x-3y)=0 equation: 


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

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

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

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

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

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

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.6y, 0.2857142857y}

See similar equations:

| 1=(.05-x)*(.05-x) | | 5^3y^2/5^2y^(-5) | | (5b-4)(2b+1)=0 | | t^2+8t+5=0 | | y-u=at | | 8t-5=3t+1.45 | | t^2+8+5=0 | | 125a^6b^3c^8/25a^6b^2c^9 | | -15+y=-2 | | 4np+7mp= | | (a-7)(a-6)=0 | | (1,56X^(2/3))-(0.65X^(5/3)) | | (x+11)(x+5)=0 | | -4/15=6x/25 | | k+1-2=9-16 | | -1/2a-3/7=11/7-1/2a | | 7x/x^2-16= | | 4-8x=8-12x | | 2m-4(3m-2)=5(6+m)-7 | | 25x^2+90x+44=0 | | 2m-4(3m-2)=5(6+m)+7 | | 9x+35= | | 13x-17= | | 5x^2+24x-9=0 | | 19-1/2=34 | | 19-6/2=34 | | (2p-5q)(5q+2p)= | | 19-19/2=34 | | 19-7/2=34 | | 19-5=68 | | 7x+5=9x-11 | | -3x+9=8-(2x+17) |

Equations solver categories