32x*16X*6=40x*dx*8

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Solution for 32x*16X*6=40x*dx*8 equation: 


Simplifying
32x * 16X * 6 = 40x * dx * 8

Reorder the terms for easier multiplication:
32 * 16 * 6x * X = 40x * dx * 8

Multiply 32 * 16
512 * 6x * X = 40x * dx * 8

Multiply 512 * 6
3072x * X = 40x * dx * 8

Multiply x * X
3072xX = 40x * dx * 8

Reorder the terms for easier multiplication:
3072xX = 40 * 8x * dx

Multiply 40 * 8
3072xX = 320x * dx

Multiply x * dx
3072xX = 320dx2

Solving
3072xX = 320dx2

Solving for variable 'x'.

Reorder the terms:
-320dx2 + 3072xX = 320dx2 + -320dx2

Combine like terms: 320dx2 + -320dx2 = 0
-320dx2 + 3072xX = 0

Factor out the Greatest Common Factor (GCF), '64x'.
64x(-5dx + 48X) = 0

Ignore the factor 64.

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 '(-5dx + 48X)' equal to zero and attempt to solve:

Simplifying
-5dx + 48X = 0

Reorder the terms:
48X + -5dx = 0

Solving
48X + -5dx = 0

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

Add '-48X' to each side of the equation.
48X + -48X + -5dx = 0 + -48X

Combine like terms: 48X + -48X = 0
0 + -5dx = 0 + -48X
-5dx = 0 + -48X
Remove the zero:
-5dx = -48X

Divide each side by '-5d'.
x = 9.6d-1X

Simplifying
x = 9.6d-1X
Solution
x = {0, 9.6d-1X}

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