(3x+8)(5x-20)=5x+4y

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Solution for (3x+8)(5x-20)=5x+4y equation: 


Simplifying
(3x + 8)(5x + -20) = 5x + 4y

Reorder the terms:
(8 + 3x)(5x + -20) = 5x + 4y

Reorder the terms:
(8 + 3x)(-20 + 5x) = 5x + 4y

Multiply (8 + 3x) * (-20 + 5x)
(8(-20 + 5x) + 3x * (-20 + 5x)) = 5x + 4y
((-20 * 8 + 5x * 8) + 3x * (-20 + 5x)) = 5x + 4y
((-160 + 40x) + 3x * (-20 + 5x)) = 5x + 4y
(-160 + 40x + (-20 * 3x + 5x * 3x)) = 5x + 4y
(-160 + 40x + (-60x + 15x2)) = 5x + 4y

Combine like terms: 40x + -60x = -20x
(-160 + -20x + 15x2) = 5x + 4y

Solving
-160 + -20x + 15x2 = 5x + 4y

Solving for variable 'x'.

Reorder the terms:
-160 + -20x + -5x + 15x2 + -4y = 5x + 4y + -5x + -4y

Combine like terms: -20x + -5x = -25x
-160 + -25x + 15x2 + -4y = 5x + 4y + -5x + -4y

Reorder the terms:
-160 + -25x + 15x2 + -4y = 5x + -5x + 4y + -4y

Combine like terms: 5x + -5x = 0
-160 + -25x + 15x2 + -4y = 0 + 4y + -4y
-160 + -25x + 15x2 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-160 + -25x + 15x2 + -4y = 0

The solution to this equation could not be determined.

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