16x+5xy=-4x+10

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Solution for 16x+5xy=-4x+10 equation:


Simplifying
16x + 5xy = -4x + 10

Reorder the terms:
16x + 5xy = 10 + -4x

Solving
16x + 5xy = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
16x + 4x + 5xy = 10 + -4x + 4x

Combine like terms: 16x + 4x = 20x
20x + 5xy = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
20x + 5xy = 10 + 0
20x + 5xy = 10

Reorder the terms:
-10 + 20x + 5xy = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 20x + 5xy = 0

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

Ignore the factor 5.

Subproblem 1

Set the factor '(-2 + 4x + xy)' equal to zero and attempt to solve: Simplifying -2 + 4x + xy = 0 Solving -2 + 4x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4x + 2 + xy = 0 + 2 Reorder the terms: -2 + 2 + 4x + xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x + xy = 0 + 2 4x + xy = 0 + 2 Combine like terms: 0 + 2 = 2 4x + xy = 2 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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