(3x+5w)x(x-6W)=

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Solution for (3x+5w)x(x-6W)= equation: 


Simplifying
(3x + 5w) * x(x + -6W) = 0

Reorder the terms:
(5w + 3x) * x(x + -6W) = 0

Reorder the terms:
(5w + 3x) * x(-6W + x) = 0

Reorder the terms for easier multiplication:
x(5w + 3x)(-6W + x) = 0

Multiply (5w + 3x) * (-6W + x)
x(5w * (-6W + x) + 3x * (-6W + x)) = 0
x((-6W * 5w + x * 5w) + 3x * (-6W + x)) = 0
x((-30wW + 5wx) + 3x * (-6W + x)) = 0
x(-30wW + 5wx + (-6W * 3x + x * 3x)) = 0
x(-30wW + 5wx + (-18xW + 3x2)) = 0
x(-30wW + 5wx + -18xW + 3x2) = 0
(-30wW * x + 5wx * x + -18xW * x + 3x2 * x) = 0
(-30wxW + 5wx2 + -18x2W + 3x3) = 0

Solving
-30wxW + 5wx2 + -18x2W + 3x3 = 0

Solving for variable 'w'.

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

Add '18x2W' to each side of the equation.
-30wxW + 5wx2 + -18x2W + 18x2W + 3x3 = 0 + 18x2W

Combine like terms: -18x2W + 18x2W = 0
-30wxW + 5wx2 + 0 + 3x3 = 0 + 18x2W
-30wxW + 5wx2 + 3x3 = 0 + 18x2W
Remove the zero:
-30wxW + 5wx2 + 3x3 = 18x2W

Add '-3x3' to each side of the equation.
-30wxW + 5wx2 + 3x3 + -3x3 = 18x2W + -3x3

Combine like terms: 3x3 + -3x3 = 0
-30wxW + 5wx2 + 0 = 18x2W + -3x3
-30wxW + 5wx2 = 18x2W + -3x3

Reorder the terms:
-30wxW + 5wx2 + -18x2W + 3x3 = 18x2W + -18x2W + -3x3 + 3x3

Combine like terms: 18x2W + -18x2W = 0
-30wxW + 5wx2 + -18x2W + 3x3 = 0 + -3x3 + 3x3
-30wxW + 5wx2 + -18x2W + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-30wxW + 5wx2 + -18x2W + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30wW + 5wx + -18xW + 3x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-30wW + 5wx + -18xW + 3x2)' equal to zero and attempt to solve:

Simplifying
-30wW + 5wx + -18xW + 3x2 = 0

Solving
-30wW + 5wx + -18xW + 3x2 = 0

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

Add '18xW' to each side of the equation.
-30wW + 5wx + -18xW + 18xW + 3x2 = 0 + 18xW

Combine like terms: -18xW + 18xW = 0
-30wW + 5wx + 0 + 3x2 = 0 + 18xW
-30wW + 5wx + 3x2 = 0 + 18xW
Remove the zero:
-30wW + 5wx + 3x2 = 18xW

Add '-3x2' to each side of the equation.
-30wW + 5wx + 3x2 + -3x2 = 18xW + -3x2

Combine like terms: 3x2 + -3x2 = 0
-30wW + 5wx + 0 = 18xW + -3x2
-30wW + 5wx = 18xW + -3x2

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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