3x(y+7)=30

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Solution for 3x(y+7)=30 equation:


Simplifying
3x(y + 7) = 30

Reorder the terms:
3x(7 + y) = 30
(7 * 3x + y * 3x) = 30
(21x + 3xy) = 30

Solving
21x + 3xy = 30

Solving for variable 'x'.

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

Reorder the terms:
-30 + 21x + 3xy = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 21x + 3xy = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 7x + xy) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-10 + 7x + xy)' equal to zero and attempt to solve: Simplifying -10 + 7x + xy = 0 Solving -10 + 7x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 7x + 10 + xy = 0 + 10 Reorder the terms: -10 + 10 + 7x + xy = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7x + xy = 0 + 10 7x + xy = 0 + 10 Combine like terms: 0 + 10 = 10 7x + xy = 10 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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