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

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


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

Reorder the terms:
X(-2 + 2X) + X(7X + -3) = (9X + 5)(X + -1)
(-2 * X + 2X * X) + X(7X + -3) = (9X + 5)(X + -1)
(-2X + 2X2) + X(7X + -3) = (9X + 5)(X + -1)

Reorder the terms:
-2X + 2X2 + X(-3 + 7X) = (9X + 5)(X + -1)
-2X + 2X2 + (-3 * X + 7X * X) = (9X + 5)(X + -1)
-2X + 2X2 + (-3X + 7X2) = (9X + 5)(X + -1)

Reorder the terms:
-2X + -3X + 2X2 + 7X2 = (9X + 5)(X + -1)

Combine like terms: -2X + -3X = -5X
-5X + 2X2 + 7X2 = (9X + 5)(X + -1)

Combine like terms: 2X2 + 7X2 = 9X2
-5X + 9X2 = (9X + 5)(X + -1)

Reorder the terms:
-5X + 9X2 = (5 + 9X)(X + -1)

Reorder the terms:
-5X + 9X2 = (5 + 9X)(-1 + X)

Multiply (5 + 9X) * (-1 + X)
-5X + 9X2 = (5(-1 + X) + 9X * (-1 + X))
-5X + 9X2 = ((-1 * 5 + X * 5) + 9X * (-1 + X))
-5X + 9X2 = ((-5 + 5X) + 9X * (-1 + X))
-5X + 9X2 = (-5 + 5X + (-1 * 9X + X * 9X))
-5X + 9X2 = (-5 + 5X + (-9X + 9X2))

Combine like terms: 5X + -9X = -4X
-5X + 9X2 = (-5 + -4X + 9X2)

Add '-9X2' to each side of the equation.
-5X + 9X2 + -9X2 = -5 + -4X + 9X2 + -9X2

Combine like terms: 9X2 + -9X2 = 0
-5X + 0 = -5 + -4X + 9X2 + -9X2
-5X = -5 + -4X + 9X2 + -9X2

Combine like terms: 9X2 + -9X2 = 0
-5X = -5 + -4X + 0
-5X = -5 + -4X

Solving
-5X = -5 + -4X

Solving for variable 'X'.

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

Add '4X' to each side of the equation.
-5X + 4X = -5 + -4X + 4X

Combine like terms: -5X + 4X = -1X
-1X = -5 + -4X + 4X

Combine like terms: -4X + 4X = 0
-1X = -5 + 0
-1X = -5

Divide each side by '-1'.
X = 5

Simplifying
X = 5

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