200=(3x+5)(X+6)

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Solution for 200=(3x+5)(X+6) equation:


Simplifying
200 = (3x + 5)(X + 6)

Reorder the terms:
200 = (5 + 3x)(X + 6)

Reorder the terms:
200 = (5 + 3x)(6 + X)

Multiply (5 + 3x) * (6 + X)
200 = (5(6 + X) + 3x * (6 + X))
200 = ((6 * 5 + X * 5) + 3x * (6 + X))
200 = ((30 + 5X) + 3x * (6 + X))
200 = (30 + 5X + (6 * 3x + X * 3x))
200 = (30 + 5X + (18x + 3xX))
200 = (30 + 5X + 18x + 3xX)

Solving
200 = 30 + 5X + 18x + 3xX

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
200 + -5X = 30 + 5X + 18x + -5X + 3xX

Reorder the terms:
200 + -5X = 30 + 5X + -5X + 18x + 3xX

Combine like terms: 5X + -5X = 0
200 + -5X = 30 + 0 + 18x + 3xX
200 + -5X = 30 + 18x + 3xX

Add '-3xX' to each side of the equation.
200 + -5X + -3xX = 30 + 18x + 3xX + -3xX

Combine like terms: 3xX + -3xX = 0
200 + -5X + -3xX = 30 + 18x + 0
200 + -5X + -3xX = 30 + 18x

Add '-200' to each side of the equation.
200 + -5X + -200 + -3xX = 30 + -200 + 18x

Reorder the terms:
200 + -200 + -5X + -3xX = 30 + -200 + 18x

Combine like terms: 200 + -200 = 0
0 + -5X + -3xX = 30 + -200 + 18x
-5X + -3xX = 30 + -200 + 18x

Combine like terms: 30 + -200 = -170
-5X + -3xX = -170 + 18x

Reorder the terms:
170 + -5X + -18x + -3xX = -170 + 18x + 170 + -18x

Reorder the terms:
170 + -5X + -18x + -3xX = -170 + 170 + 18x + -18x

Combine like terms: -170 + 170 = 0
170 + -5X + -18x + -3xX = 0 + 18x + -18x
170 + -5X + -18x + -3xX = 18x + -18x

Combine like terms: 18x + -18x = 0
170 + -5X + -18x + -3xX = 0

The solution to this equation could not be determined.

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