X(5x-9)+2x=9x+5x(5+x)

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Solution for X(5x-9)+2x=9x+5x(5+x) equation:


Simplifying
X(5x + -9) + 2x = 9x + 5x(5 + x)

Reorder the terms:
X(-9 + 5x) + 2x = 9x + 5x(5 + x)
(-9 * X + 5x * X) + 2x = 9x + 5x(5 + x)
(-9X + 5xX) + 2x = 9x + 5x(5 + x)

Reorder the terms:
-9X + 2x + 5xX = 9x + 5x(5 + x)
-9X + 2x + 5xX = 9x + (5 * 5x + x * 5x)
-9X + 2x + 5xX = 9x + (25x + 5x2)

Combine like terms: 9x + 25x = 34x
-9X + 2x + 5xX = 34x + 5x2

Solving
-9X + 2x + 5xX = 34x + 5x2

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
-9X + 2x + -2x + 5xX = 34x + -2x + 5x2

Combine like terms: 2x + -2x = 0
-9X + 0 + 5xX = 34x + -2x + 5x2
-9X + 5xX = 34x + -2x + 5x2

Combine like terms: 34x + -2x = 32x
-9X + 5xX = 32x + 5x2

Reorder the terms:
-9X + -32x + 5xX + -5x2 = 32x + 5x2 + -32x + -5x2

Reorder the terms:
-9X + -32x + 5xX + -5x2 = 32x + -32x + 5x2 + -5x2

Combine like terms: 32x + -32x = 0
-9X + -32x + 5xX + -5x2 = 0 + 5x2 + -5x2
-9X + -32x + 5xX + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-9X + -32x + 5xX + -5x2 = 0

The solution to this equation could not be determined.

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