X(2x-3)+x(7x-2)=(9x+5)(x-1)

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Solution for X(2x-3)+x(7x-2)=(9x+5)(x-1) equation: 


Simplifying
X(2x + -3) + x(7x + -2) = (9x + 5)(x + -1)

Reorder the terms:
X(-3 + 2x) + x(7x + -2) = (9x + 5)(x + -1)
(-3 * X + 2x * X) + x(7x + -2) = (9x + 5)(x + -1)
(-3X + 2xX) + x(7x + -2) = (9x + 5)(x + -1)

Reorder the terms:
-3X + 2xX + x(-2 + 7x) = (9x + 5)(x + -1)
-3X + 2xX + (-2 * x + 7x * x) = (9x + 5)(x + -1)
-3X + 2xX + (-2x + 7x2) = (9x + 5)(x + -1)

Reorder the terms:
-3X + -2x + 2xX + 7x2 = (9x + 5)(x + -1)

Reorder the terms:
-3X + -2x + 2xX + 7x2 = (5 + 9x)(x + -1)

Reorder the terms:
-3X + -2x + 2xX + 7x2 = (5 + 9x)(-1 + x)

Multiply (5 + 9x) * (-1 + x)
-3X + -2x + 2xX + 7x2 = (5(-1 + x) + 9x * (-1 + x))
-3X + -2x + 2xX + 7x2 = ((-1 * 5 + x * 5) + 9x * (-1 + x))
-3X + -2x + 2xX + 7x2 = ((-5 + 5x) + 9x * (-1 + x))
-3X + -2x + 2xX + 7x2 = (-5 + 5x + (-1 * 9x + x * 9x))
-3X + -2x + 2xX + 7x2 = (-5 + 5x + (-9x + 9x2))

Combine like terms: 5x + -9x = -4x
-3X + -2x + 2xX + 7x2 = (-5 + -4x + 9x2)

Solving
-3X + -2x + 2xX + 7x2 = -5 + -4x + 9x2

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.
-3X + -2x + 2xX + 2x + 7x2 = -5 + -4x + 2x + 9x2

Reorder the terms:
-3X + -2x + 2x + 2xX + 7x2 = -5 + -4x + 2x + 9x2

Combine like terms: -2x + 2x = 0
-3X + 0 + 2xX + 7x2 = -5 + -4x + 2x + 9x2
-3X + 2xX + 7x2 = -5 + -4x + 2x + 9x2

Combine like terms: -4x + 2x = -2x
-3X + 2xX + 7x2 = -5 + -2x + 9x2

Add '-7x2' to each side of the equation.
-3X + 2xX + 7x2 + -7x2 = -5 + -2x + 9x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-3X + 2xX + 0 = -5 + -2x + 9x2 + -7x2
-3X + 2xX = -5 + -2x + 9x2 + -7x2

Combine like terms: 9x2 + -7x2 = 2x2
-3X + 2xX = -5 + -2x + 2x2

Reorder the terms:
5 + -3X + 2x + 2xX + -2x2 = -5 + -2x + 2x2 + 5 + 2x + -2x2

Reorder the terms:
5 + -3X + 2x + 2xX + -2x2 = -5 + 5 + -2x + 2x + 2x2 + -2x2

Combine like terms: -5 + 5 = 0
5 + -3X + 2x + 2xX + -2x2 = 0 + -2x + 2x + 2x2 + -2x2
5 + -3X + 2x + 2xX + -2x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
5 + -3X + 2x + 2xX + -2x2 = 0 + 2x2 + -2x2
5 + -3X + 2x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + -3X + 2x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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