5+3x*7-y=4x*10y-9+7x+3y

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Solution for 5+3x*7-y=4x*10y-9+7x+3y equation:


Simplifying
5 + 3x * 7 + -1y = 4x * 10y + -9 + 7x + 3y

Reorder the terms for easier multiplication:
5 + 3 * 7x + -1y = 4x * 10y + -9 + 7x + 3y

Multiply 3 * 7
5 + 21x + -1y = 4x * 10y + -9 + 7x + 3y

Reorder the terms for easier multiplication:
5 + 21x + -1y = 4 * 10x * y + -9 + 7x + 3y

Multiply 4 * 10
5 + 21x + -1y = 40x * y + -9 + 7x + 3y

Multiply x * y
5 + 21x + -1y = 40xy + -9 + 7x + 3y

Reorder the terms:
5 + 21x + -1y = -9 + 7x + 40xy + 3y

Solving
5 + 21x + -1y = -9 + 7x + 40xy + 3y

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 21x + -7x + -1y = -9 + 7x + 40xy + -7x + 3y

Combine like terms: 21x + -7x = 14x
5 + 14x + -1y = -9 + 7x + 40xy + -7x + 3y

Reorder the terms:
5 + 14x + -1y = -9 + 7x + -7x + 40xy + 3y

Combine like terms: 7x + -7x = 0
5 + 14x + -1y = -9 + 0 + 40xy + 3y
5 + 14x + -1y = -9 + 40xy + 3y

Add '-40xy' to each side of the equation.
5 + 14x + -40xy + -1y = -9 + 40xy + -40xy + 3y

Combine like terms: 40xy + -40xy = 0
5 + 14x + -40xy + -1y = -9 + 0 + 3y
5 + 14x + -40xy + -1y = -9 + 3y

Add '-5' to each side of the equation.
5 + 14x + -40xy + -5 + -1y = -9 + -5 + 3y

Reorder the terms:
5 + -5 + 14x + -40xy + -1y = -9 + -5 + 3y

Combine like terms: 5 + -5 = 0
0 + 14x + -40xy + -1y = -9 + -5 + 3y
14x + -40xy + -1y = -9 + -5 + 3y

Combine like terms: -9 + -5 = -14
14x + -40xy + -1y = -14 + 3y

Add 'y' to each side of the equation.
14x + -40xy + -1y + y = -14 + 3y + y

Combine like terms: -1y + y = 0
14x + -40xy + 0 = -14 + 3y + y
14x + -40xy = -14 + 3y + y

Combine like terms: 3y + y = 4y
14x + -40xy = -14 + 4y

Reorder the terms:
14 + 14x + -40xy + -4y = -14 + 4y + 14 + -4y

Reorder the terms:
14 + 14x + -40xy + -4y = -14 + 14 + 4y + -4y

Combine like terms: -14 + 14 = 0
14 + 14x + -40xy + -4y = 0 + 4y + -4y
14 + 14x + -40xy + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
14 + 14x + -40xy + -4y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 7x + -20xy + -2y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 7x + -20xy + -2y)' equal to zero and attempt to solve: Simplifying 7 + 7x + -20xy + -2y = 0 Solving 7 + 7x + -20xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7x + -20xy + -7 + -2y = 0 + -7 Reorder the terms: 7 + -7 + 7x + -20xy + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7x + -20xy + -2y = 0 + -7 7x + -20xy + -2y = 0 + -7 Combine like terms: 0 + -7 = -7 7x + -20xy + -2y = -7 Add '2y' to each side of the equation. 7x + -20xy + -2y + 2y = -7 + 2y Combine like terms: -2y + 2y = 0 7x + -20xy + 0 = -7 + 2y 7x + -20xy = -7 + 2y 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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