abd(2x+5)=cbd(3x+8)

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Solution for abd(2x+5)=cbd(3x+8) equation: 


Simplifying
abd(2x + 5) = cbd(3x + 8)

Reorder the terms:
abd(5 + 2x) = cbd(3x + 8)
(5 * abd + 2x * abd) = cbd(3x + 8)
(5abd + 2abdx) = cbd(3x + 8)

Reorder the terms:
5abd + 2abdx = bcd(8 + 3x)
5abd + 2abdx = (8 * bcd + 3x * bcd)
5abd + 2abdx = (8bcd + 3bcdx)

Solving
5abd + 2abdx = 8bcd + 3bcdx

Solving for variable 'a'.

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

Reorder the terms:
5abd + 2abdx + -8bcd + -3bcdx = 8bcd + -8bcd + 3bcdx + -3bcdx

Combine like terms: 8bcd + -8bcd = 0
5abd + 2abdx + -8bcd + -3bcdx = 0 + 3bcdx + -3bcdx
5abd + 2abdx + -8bcd + -3bcdx = 3bcdx + -3bcdx

Combine like terms: 3bcdx + -3bcdx = 0
5abd + 2abdx + -8bcd + -3bcdx = 0

Factor out the Greatest Common Factor (GCF), 'bd'.
bd(5a + 2ax + -8c + -3cx) = 0


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

Simplifying
bd = 0

Solving
bd = 0

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

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

Simplifying
0 = -1bd

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 '(5a + 2ax + -8c + -3cx)' equal to zero and attempt to solve:

Simplifying
5a + 2ax + -8c + -3cx = 0

Solving
5a + 2ax + -8c + -3cx = 0

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

Add '8c' to each side of the equation.
5a + 2ax + -8c + 8c + -3cx = 0 + 8c

Combine like terms: -8c + 8c = 0
5a + 2ax + 0 + -3cx = 0 + 8c
5a + 2ax + -3cx = 0 + 8c
Remove the zero:
5a + 2ax + -3cx = 8c

Add '3cx' to each side of the equation.
5a + 2ax + -3cx + 3cx = 8c + 3cx

Combine like terms: -3cx + 3cx = 0
5a + 2ax + 0 = 8c + 3cx
5a + 2ax = 8c + 3cx

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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