-2x(x-4)=2(y+5)

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Solution for -2x(x-4)=2(y+5) equation: 


Simplifying
-2x(x + -4) = 2(y + 5)

Reorder the terms:
-2x(-4 + x) = 2(y + 5)
(-4 * -2x + x * -2x) = 2(y + 5)
(8x + -2x2) = 2(y + 5)

Reorder the terms:
8x + -2x2 = 2(5 + y)
8x + -2x2 = (5 * 2 + y * 2)
8x + -2x2 = (10 + 2y)

Solving
8x + -2x2 = 10 + 2y

Solving for variable 'x'.

Reorder the terms:
-10 + 8x + -2x2 + -2y = 10 + 2y + -10 + -2y

Reorder the terms:
-10 + 8x + -2x2 + -2y = 10 + -10 + 2y + -2y

Combine like terms: 10 + -10 = 0
-10 + 8x + -2x2 + -2y = 0 + 2y + -2y
-10 + 8x + -2x2 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-10 + 8x + -2x2 + -2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 4x + -1x2 + -1y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 4x + -1x2 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + 4x + -1x2 + -1y = 0

Solving
-5 + 4x + -1x2 + -1y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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