1x*4y=x+7x

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Solution for 1x*4y=x+7x equation:


Simplifying
1x * 4y = x + 7x

Reorder the terms for easier multiplication:
1 * 4x * y = x + 7x

Multiply 1 * 4
4x * y = x + 7x

Multiply x * y
4xy = x + 7x

Combine like terms: x + 7x = 8x
4xy = 8x

Solving
4xy = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-8x + 4xy = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + 4xy = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Add '-1y' to each side of the equation. y + -1y = 2 + -1y Combine like terms: y + -1y = 0 0 = 2 + -1y Simplifying 0 = 2 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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