X(4X-8)=(4X+5)(x-2)

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Solution for X(4X-8)=(4X+5)(x-2) equation:


Simplifying
X(4X + -8) = (4X + 5)(x + -2)

Reorder the terms:
X(-8 + 4X) = (4X + 5)(x + -2)
(-8 * X + 4X * X) = (4X + 5)(x + -2)
(-8X + 4X2) = (4X + 5)(x + -2)

Reorder the terms:
-8X + 4X2 = (5 + 4X)(x + -2)

Reorder the terms:
-8X + 4X2 = (5 + 4X)(-2 + x)

Multiply (5 + 4X) * (-2 + x)
-8X + 4X2 = (5(-2 + x) + 4X * (-2 + x))
-8X + 4X2 = ((-2 * 5 + x * 5) + 4X * (-2 + x))
-8X + 4X2 = ((-10 + 5x) + 4X * (-2 + x))
-8X + 4X2 = (-10 + 5x + (-2 * 4X + x * 4X))
-8X + 4X2 = (-10 + 5x + (-8X + 4xX))

Reorder the terms:
-8X + 4X2 = (-10 + -8X + 5x + 4xX)
-8X + 4X2 = (-10 + -8X + 5x + 4xX)

Add '8X' to each side of the equation.
-8X + 8X + 4X2 = -10 + -8X + 5x + 8X + 4xX

Combine like terms: -8X + 8X = 0
0 + 4X2 = -10 + -8X + 5x + 8X + 4xX
4X2 = -10 + -8X + 5x + 8X + 4xX

Reorder the terms:
4X2 = -10 + -8X + 8X + 5x + 4xX

Combine like terms: -8X + 8X = 0
4X2 = -10 + 0 + 5x + 4xX
4X2 = -10 + 5x + 4xX

Solving
4X2 = -10 + 5x + 4xX

Solving for variable 'X'.

Reorder the terms:
10 + 4X2 + -5x + -4xX = -10 + 5x + 4xX + 10 + -5x + -4xX

Reorder the terms:
10 + 4X2 + -5x + -4xX = -10 + 10 + 5x + -5x + 4xX + -4xX

Combine like terms: -10 + 10 = 0
10 + 4X2 + -5x + -4xX = 0 + 5x + -5x + 4xX + -4xX
10 + 4X2 + -5x + -4xX = 5x + -5x + 4xX + -4xX

Combine like terms: 5x + -5x = 0
10 + 4X2 + -5x + -4xX = 0 + 4xX + -4xX
10 + 4X2 + -5x + -4xX = 4xX + -4xX

Combine like terms: 4xX + -4xX = 0
10 + 4X2 + -5x + -4xX = 0

The solution to this equation could not be determined.

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