3(x+5x)+2(xy+8x)+(8xy)=

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Solution for 3(x+5x)+2(xy+8x)+(8xy)= equation:


Simplifying
3(x + 5x) + 2(xy + 8x) + (8xy) = 0

Combine like terms: x + 5x = 6x
3(6x) + 2(xy + 8x) + (8xy) = 0

Remove parenthesis around (6x)
3 * 6x + 2(xy + 8x) + (8xy) = 0

Multiply 3 * 6
18x + 2(xy + 8x) + (8xy) = 0

Reorder the terms:
18x + 2(8x + xy) + (8xy) = 0
18x + (8x * 2 + xy * 2) + (8xy) = 0
18x + (16x + 2xy) + (8xy) = 0

Combine like terms: 18x + 16x = 34x
34x + 2xy + (8xy) = 0

Combine like terms: 2xy + (8xy) = 10xy
34x + 10xy = 0

Solving
34x + 10xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(17 + 5y) = 0

Ignore the factor 2.

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 '(17 + 5y)' equal to zero and attempt to solve: Simplifying 17 + 5y = 0 Solving 17 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5y = 0 + -17 5y = 0 + -17 Combine like terms: 0 + -17 = -17 5y = -17 Add '-5y' to each side of the equation. 5y + -5y = -17 + -5y Combine like terms: 5y + -5y = 0 0 = -17 + -5y Simplifying 0 = -17 + -5y 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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