X(5x-4)=(5x+1)(x-3)

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Solution for X(5x-4)=(5x+1)(x-3) equation:


Simplifying
X(5x + -4) = (5x + 1)(x + -3)

Reorder the terms:
X(-4 + 5x) = (5x + 1)(x + -3)
(-4 * X + 5x * X) = (5x + 1)(x + -3)
(-4X + 5xX) = (5x + 1)(x + -3)

Reorder the terms:
-4X + 5xX = (1 + 5x)(x + -3)

Reorder the terms:
-4X + 5xX = (1 + 5x)(-3 + x)

Multiply (1 + 5x) * (-3 + x)
-4X + 5xX = (1(-3 + x) + 5x * (-3 + x))
-4X + 5xX = ((-3 * 1 + x * 1) + 5x * (-3 + x))
-4X + 5xX = ((-3 + 1x) + 5x * (-3 + x))
-4X + 5xX = (-3 + 1x + (-3 * 5x + x * 5x))
-4X + 5xX = (-3 + 1x + (-15x + 5x2))

Combine like terms: 1x + -15x = -14x
-4X + 5xX = (-3 + -14x + 5x2)

Solving
-4X + 5xX = -3 + -14x + 5x2

Solving for variable 'X'.

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

Reorder the terms:
3 + -4X + 14x + 5xX + -5x2 = -3 + -14x + 5x2 + 3 + 14x + -5x2

Reorder the terms:
3 + -4X + 14x + 5xX + -5x2 = -3 + 3 + -14x + 14x + 5x2 + -5x2

Combine like terms: -3 + 3 = 0
3 + -4X + 14x + 5xX + -5x2 = 0 + -14x + 14x + 5x2 + -5x2
3 + -4X + 14x + 5xX + -5x2 = -14x + 14x + 5x2 + -5x2

Combine like terms: -14x + 14x = 0
3 + -4X + 14x + 5xX + -5x2 = 0 + 5x2 + -5x2
3 + -4X + 14x + 5xX + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
3 + -4X + 14x + 5xX + -5x2 = 0

The solution to this equation could not be determined.

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