(5x-2)(9-y)=64

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Solution for (5x-2)(9-y)=64 equation:


Simplifying
(5x + -2)(9 + -1y) = 64

Reorder the terms:
(-2 + 5x)(9 + -1y) = 64

Multiply (-2 + 5x) * (9 + -1y)
(-2(9 + -1y) + 5x * (9 + -1y)) = 64
((9 * -2 + -1y * -2) + 5x * (9 + -1y)) = 64
((-18 + 2y) + 5x * (9 + -1y)) = 64
(-18 + 2y + (9 * 5x + -1y * 5x)) = 64
(-18 + 2y + (45x + -5xy)) = 64

Reorder the terms:
(-18 + 45x + -5xy + 2y) = 64
(-18 + 45x + -5xy + 2y) = 64

Solving
-18 + 45x + -5xy + 2y = 64

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 45x + -5xy + 18 + 2y = 64 + 18

Reorder the terms:
-18 + 18 + 45x + -5xy + 2y = 64 + 18

Combine like terms: -18 + 18 = 0
0 + 45x + -5xy + 2y = 64 + 18
45x + -5xy + 2y = 64 + 18

Combine like terms: 64 + 18 = 82
45x + -5xy + 2y = 82

Add '-2y' to each side of the equation.
45x + -5xy + 2y + -2y = 82 + -2y

Combine like terms: 2y + -2y = 0
45x + -5xy + 0 = 82 + -2y
45x + -5xy = 82 + -2y

Reorder the terms:
-82 + 45x + -5xy + 2y = 82 + -2y + -82 + 2y

Reorder the terms:
-82 + 45x + -5xy + 2y = 82 + -82 + -2y + 2y

Combine like terms: 82 + -82 = 0
-82 + 45x + -5xy + 2y = 0 + -2y + 2y
-82 + 45x + -5xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-82 + 45x + -5xy + 2y = 0

The solution to this equation could not be determined.

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