(X+9)(9x)=(x+9)(18)

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Solution for (X+9)(9x)=(x+9)(18) equation:


Simplifying
(X + 9)(9x) = (x + 9)(18)

Reorder the terms:
(9 + X)(9x) = (x + 9)(18)

Remove parenthesis around (9x)
(9 + X) * 9x = (x + 9)(18)

Reorder the terms for easier multiplication:
9x(9 + X) = (x + 9)(18)
(9 * 9x + X * 9x) = (x + 9)(18)
(81x + 9xX) = (x + 9)(18)

Reorder the terms:
81x + 9xX = (9 + x)(18)

Reorder the terms for easier multiplication:
81x + 9xX = 18(9 + x)
81x + 9xX = (9 * 18 + x * 18)
81x + 9xX = (162 + 18x)

Solving
81x + 9xX = 162 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
81x + -18x + 9xX = 162 + 18x + -18x

Combine like terms: 81x + -18x = 63x
63x + 9xX = 162 + 18x + -18x

Combine like terms: 18x + -18x = 0
63x + 9xX = 162 + 0
63x + 9xX = 162

Reorder the terms:
-162 + 63x + 9xX = 162 + -162

Combine like terms: 162 + -162 = 0
-162 + 63x + 9xX = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-18 + 7x + xX) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(-18 + 7x + xX)' equal to zero and attempt to solve: Simplifying -18 + 7x + xX = 0 Solving -18 + 7x + xX = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 7x + 18 + xX = 0 + 18 Reorder the terms: -18 + 18 + 7x + xX = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7x + xX = 0 + 18 7x + xX = 0 + 18 Combine like terms: 0 + 18 = 18 7x + xX = 18 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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