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

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Solution for (2y+3)(5y-3x-2)= equation: 


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

Reorder the terms:
(3 + 2y)(5y + -3x + -2) = 0

Reorder the terms:
(3 + 2y)(-2 + -3x + 5y) = 0

Multiply (3 + 2y) * (-2 + -3x + 5y)
(3(-2 + -3x + 5y) + 2y * (-2 + -3x + 5y)) = 0
((-2 * 3 + -3x * 3 + 5y * 3) + 2y * (-2 + -3x + 5y)) = 0
((-6 + -9x + 15y) + 2y * (-2 + -3x + 5y)) = 0
(-6 + -9x + 15y + (-2 * 2y + -3x * 2y + 5y * 2y)) = 0

Reorder the terms:
(-6 + -9x + 15y + (-6xy + -4y + 10y2)) = 0
(-6 + -9x + 15y + (-6xy + -4y + 10y2)) = 0

Reorder the terms:
(-6 + -9x + -6xy + 15y + -4y + 10y2) = 0

Combine like terms: 15y + -4y = 11y
(-6 + -9x + -6xy + 11y + 10y2) = 0

Solving
-6 + -9x + -6xy + 11y + 10y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + -9x + -6xy + 11y + 6 + 10y2 = 0 + 6

Reorder the terms:
-6 + 6 + -9x + -6xy + 11y + 10y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -9x + -6xy + 11y + 10y2 = 0 + 6
-9x + -6xy + 11y + 10y2 = 0 + 6

Combine like terms: 0 + 6 = 6
-9x + -6xy + 11y + 10y2 = 6

Add '-11y' to each side of the equation.
-9x + -6xy + 11y + -11y + 10y2 = 6 + -11y

Combine like terms: 11y + -11y = 0
-9x + -6xy + 0 + 10y2 = 6 + -11y
-9x + -6xy + 10y2 = 6 + -11y

Add '-10y2' to each side of the equation.
-9x + -6xy + 10y2 + -10y2 = 6 + -11y + -10y2

Combine like terms: 10y2 + -10y2 = 0
-9x + -6xy + 0 = 6 + -11y + -10y2
-9x + -6xy = 6 + -11y + -10y2

Reorder the terms:
-6 + -9x + -6xy + 11y + 10y2 = 6 + -11y + -10y2 + -6 + 11y + 10y2

Reorder the terms:
-6 + -9x + -6xy + 11y + 10y2 = 6 + -6 + -11y + 11y + -10y2 + 10y2

Combine like terms: 6 + -6 = 0
-6 + -9x + -6xy + 11y + 10y2 = 0 + -11y + 11y + -10y2 + 10y2
-6 + -9x + -6xy + 11y + 10y2 = -11y + 11y + -10y2 + 10y2

Combine like terms: -11y + 11y = 0
-6 + -9x + -6xy + 11y + 10y2 = 0 + -10y2 + 10y2
-6 + -9x + -6xy + 11y + 10y2 = -10y2 + 10y2

Combine like terms: -10y2 + 10y2 = 0
-6 + -9x + -6xy + 11y + 10y2 = 0

The solution to this equation could not be determined.

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