(5x+3y)(3m+6w)=

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Solution for (5x+3y)(3m+6w)= equation:


Simplifying
(5x + 3y)(3m + 6w) = 0

Multiply (5x + 3y) * (3m + 6w)
(5x * (3m + 6w) + 3y * (3m + 6w)) = 0
((3m * 5x + 6w * 5x) + 3y * (3m + 6w)) = 0
((15mx + 30wx) + 3y * (3m + 6w)) = 0
(15mx + 30wx + (3m * 3y + 6w * 3y)) = 0
(15mx + 30wx + (9my + 18wy)) = 0

Reorder the terms:
(15mx + 9my + 30wx + 18wy) = 0
(15mx + 9my + 30wx + 18wy) = 0

Solving
15mx + 9my + 30wx + 18wy = 0

Solving for variable 'm'.

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

Add '-30wx' to each side of the equation.
15mx + 9my + 30wx + -30wx + 18wy = 0 + -30wx

Combine like terms: 30wx + -30wx = 0
15mx + 9my + 0 + 18wy = 0 + -30wx
15mx + 9my + 18wy = 0 + -30wx
Remove the zero:
15mx + 9my + 18wy = -30wx

Add '-18wy' to each side of the equation.
15mx + 9my + 18wy + -18wy = -30wx + -18wy

Combine like terms: 18wy + -18wy = 0
15mx + 9my + 0 = -30wx + -18wy
15mx + 9my = -30wx + -18wy

Reorder the terms:
15mx + 9my + 30wx + 18wy = -30wx + 30wx + -18wy + 18wy

Combine like terms: -30wx + 30wx = 0
15mx + 9my + 30wx + 18wy = 0 + -18wy + 18wy
15mx + 9my + 30wx + 18wy = -18wy + 18wy

Combine like terms: -18wy + 18wy = 0
15mx + 9my + 30wx + 18wy = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5mx + 3my + 10wx + 6wy) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(5mx + 3my + 10wx + 6wy)' equal to zero and attempt to solve: Simplifying 5mx + 3my + 10wx + 6wy = 0 Solving 5mx + 3my + 10wx + 6wy = 0 Move all terms containing m to the left, all other terms to the right. Add '-10wx' to each side of the equation. 5mx + 3my + 10wx + -10wx + 6wy = 0 + -10wx Combine like terms: 10wx + -10wx = 0 5mx + 3my + 0 + 6wy = 0 + -10wx 5mx + 3my + 6wy = 0 + -10wx Remove the zero: 5mx + 3my + 6wy = -10wx Add '-6wy' to each side of the equation. 5mx + 3my + 6wy + -6wy = -10wx + -6wy Combine like terms: 6wy + -6wy = 0 5mx + 3my + 0 = -10wx + -6wy 5mx + 3my = -10wx + -6wy 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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