32x*15X*6=40x*dx*8

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Solution for 32x*15X*6=40x*dx*8 equation:


Simplifying
32x * 15X * 6 = 40x * dx * 8

Reorder the terms for easier multiplication:
32 * 15 * 6x * X = 40x * dx * 8

Multiply 32 * 15
480 * 6x * X = 40x * dx * 8

Multiply 480 * 6
2880x * X = 40x * dx * 8

Multiply x * X
2880xX = 40x * dx * 8

Reorder the terms for easier multiplication:
2880xX = 40 * 8x * dx

Multiply 40 * 8
2880xX = 320x * dx

Multiply x * dx
2880xX = 320dx2

Solving
2880xX = 320dx2

Solving for variable 'x'.

Reorder the terms:
-320dx2 + 2880xX = 320dx2 + -320dx2

Combine like terms: 320dx2 + -320dx2 = 0
-320dx2 + 2880xX = 0

Factor out the Greatest Common Factor (GCF), '320x'.
320x(-1dx + 9X) = 0

Ignore the factor 320.

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 '(-1dx + 9X)' equal to zero and attempt to solve: Simplifying -1dx + 9X = 0 Reorder the terms: 9X + -1dx = 0 Solving 9X + -1dx = 0 Move all terms containing x to the left, all other terms to the right. Add '-9X' to each side of the equation. 9X + -9X + -1dx = 0 + -9X Combine like terms: 9X + -9X = 0 0 + -1dx = 0 + -9X -1dx = 0 + -9X Remove the zero: -1dx = -9X Divide each side by '-1d'. x = 9d-1X Simplifying x = 9d-1X

Solution

x = {0, 9d-1X}

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