(10x+-8)(6x+-4)=x^2+5y

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Solution for (10x+-8)(6x+-4)=x^2+5y equation: 


Simplifying
(10x + -8)(6x + -4) = x2 + 5y

Reorder the terms:
(-8 + 10x)(6x + -4) = x2 + 5y

Reorder the terms:
(-8 + 10x)(-4 + 6x) = x2 + 5y

Multiply (-8 + 10x) * (-4 + 6x)
(-8(-4 + 6x) + 10x * (-4 + 6x)) = x2 + 5y
((-4 * -8 + 6x * -8) + 10x * (-4 + 6x)) = x2 + 5y
((32 + -48x) + 10x * (-4 + 6x)) = x2 + 5y
(32 + -48x + (-4 * 10x + 6x * 10x)) = x2 + 5y
(32 + -48x + (-40x + 60x2)) = x2 + 5y

Combine like terms: -48x + -40x = -88x
(32 + -88x + 60x2) = x2 + 5y

Solving
32 + -88x + 60x2 = x2 + 5y

Solving for variable 'x'.

Combine like terms: 60x2 + -1x2 = 59x2
32 + -88x + 59x2 + -5y = x2 + 5y + -1x2 + -5y

Reorder the terms:
32 + -88x + 59x2 + -5y = x2 + -1x2 + 5y + -5y

Combine like terms: x2 + -1x2 = 0
32 + -88x + 59x2 + -5y = 0 + 5y + -5y
32 + -88x + 59x2 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
32 + -88x + 59x2 + -5y = 0

The solution to this equation could not be determined.

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