X(4x-2)+(3x-5)=(7x+9)(x-2)

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Solution for X(4x-2)+(3x-5)=(7x+9)(x-2) equation:


Simplifying
X(4x + -2) + (3x + -5) = (7x + 9)(x + -2)

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

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

Remove parenthesis around (-5 + 3x)
-2X + 4xX + -5 + 3x = (7x + 9)(x + -2)

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

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

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

Multiply (9 + 7x) * (-2 + x)
-5 + -2X + 3x + 4xX = (9(-2 + x) + 7x * (-2 + x))
-5 + -2X + 3x + 4xX = ((-2 * 9 + x * 9) + 7x * (-2 + x))
-5 + -2X + 3x + 4xX = ((-18 + 9x) + 7x * (-2 + x))
-5 + -2X + 3x + 4xX = (-18 + 9x + (-2 * 7x + x * 7x))
-5 + -2X + 3x + 4xX = (-18 + 9x + (-14x + 7x2))

Combine like terms: 9x + -14x = -5x
-5 + -2X + 3x + 4xX = (-18 + -5x + 7x2)

Solving
-5 + -2X + 3x + 4xX = -18 + -5x + 7x2

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + -2X + 3x + 5 + 4xX = -18 + -5x + 5 + 7x2

Reorder the terms:
-5 + 5 + -2X + 3x + 4xX = -18 + -5x + 5 + 7x2

Combine like terms: -5 + 5 = 0
0 + -2X + 3x + 4xX = -18 + -5x + 5 + 7x2
-2X + 3x + 4xX = -18 + -5x + 5 + 7x2

Reorder the terms:
-2X + 3x + 4xX = -18 + 5 + -5x + 7x2

Combine like terms: -18 + 5 = -13
-2X + 3x + 4xX = -13 + -5x + 7x2

Add '-3x' to each side of the equation.
-2X + 3x + -3x + 4xX = -13 + -5x + -3x + 7x2

Combine like terms: 3x + -3x = 0
-2X + 0 + 4xX = -13 + -5x + -3x + 7x2
-2X + 4xX = -13 + -5x + -3x + 7x2

Combine like terms: -5x + -3x = -8x
-2X + 4xX = -13 + -8x + 7x2

Reorder the terms:
13 + -2X + 8x + 4xX + -7x2 = -13 + -8x + 7x2 + 13 + 8x + -7x2

Reorder the terms:
13 + -2X + 8x + 4xX + -7x2 = -13 + 13 + -8x + 8x + 7x2 + -7x2

Combine like terms: -13 + 13 = 0
13 + -2X + 8x + 4xX + -7x2 = 0 + -8x + 8x + 7x2 + -7x2
13 + -2X + 8x + 4xX + -7x2 = -8x + 8x + 7x2 + -7x2

Combine like terms: -8x + 8x = 0
13 + -2X + 8x + 4xX + -7x2 = 0 + 7x2 + -7x2
13 + -2X + 8x + 4xX + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
13 + -2X + 8x + 4xX + -7x2 = 0

The solution to this equation could not be determined.

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