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

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


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

Multiply F * x
xF = (X + 5)(4x + 1)(x + -3)

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

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

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

Multiply (5 + X) * (1 + 4x)
xF = (5(1 + 4x) + X(1 + 4x))(-3 + x)
xF = ((1 * 5 + 4x * 5) + X(1 + 4x))(-3 + x)
xF = ((5 + 20x) + X(1 + 4x))(-3 + x)
xF = (5 + 20x + (1 * X + 4x * X))(-3 + x)
xF = (5 + 20x + (1X + 4xX))(-3 + x)

Reorder the terms:
xF = (5 + 1X + 20x + 4xX)(-3 + x)
xF = (5 + 1X + 20x + 4xX)(-3 + x)

Multiply (5 + 1X + 20x + 4xX) * (-3 + x)
xF = (5(-3 + x) + 1X * (-3 + x) + 20x * (-3 + x) + 4xX * (-3 + x))
xF = ((-3 * 5 + x * 5) + 1X * (-3 + x) + 20x * (-3 + x) + 4xX * (-3 + x))
xF = ((-15 + 5x) + 1X * (-3 + x) + 20x * (-3 + x) + 4xX * (-3 + x))
xF = (-15 + 5x + (-3 * 1X + x * 1X) + 20x * (-3 + x) + 4xX * (-3 + x))
xF = (-15 + 5x + (-3X + 1xX) + 20x * (-3 + x) + 4xX * (-3 + x))
xF = (-15 + 5x + -3X + 1xX + (-3 * 20x + x * 20x) + 4xX * (-3 + x))
xF = (-15 + 5x + -3X + 1xX + (-60x + 20x2) + 4xX * (-3 + x))
xF = (-15 + 5x + -3X + 1xX + -60x + 20x2 + (-3 * 4xX + x * 4xX))
xF = (-15 + 5x + -3X + 1xX + -60x + 20x2 + (-12xX + 4x2X))

Reorder the terms:
xF = (-15 + -3X + 5x + -60x + 1xX + -12xX + 20x2 + 4x2X)

Combine like terms: 5x + -60x = -55x
xF = (-15 + -3X + -55x + 1xX + -12xX + 20x2 + 4x2X)

Combine like terms: 1xX + -12xX = -11xX
xF = (-15 + -3X + -55x + -11xX + 20x2 + 4x2X)

Solving
xF = -15 + -3X + -55x + -11xX + 20x2 + 4x2X

Solving for variable 'x'.

Reorder the terms:
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = -15 + -3X + -55x + -11xX + 20x2 + 4x2X + 15 + 3X + 55x + 11xX + -20x2 + -4x2X

Reorder the terms:
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = -15 + 15 + -3X + 3X + -55x + 55x + -11xX + 11xX + 20x2 + -20x2 + 4x2X + -4x2X

Combine like terms: -15 + 15 = 0
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 0 + -3X + 3X + -55x + 55x + -11xX + 11xX + 20x2 + -20x2 + 4x2X + -4x2X
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = -3X + 3X + -55x + 55x + -11xX + 11xX + 20x2 + -20x2 + 4x2X + -4x2X

Combine like terms: -3X + 3X = 0
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 0 + -55x + 55x + -11xX + 11xX + 20x2 + -20x2 + 4x2X + -4x2X
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = -55x + 55x + -11xX + 11xX + 20x2 + -20x2 + 4x2X + -4x2X

Combine like terms: -55x + 55x = 0
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 0 + -11xX + 11xX + 20x2 + -20x2 + 4x2X + -4x2X
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = -11xX + 11xX + 20x2 + -20x2 + 4x2X + -4x2X

Combine like terms: -11xX + 11xX = 0
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 0 + 20x2 + -20x2 + 4x2X + -4x2X
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 20x2 + -20x2 + 4x2X + -4x2X

Combine like terms: 20x2 + -20x2 = 0
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 0 + 4x2X + -4x2X
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 4x2X + -4x2X

Combine like terms: 4x2X + -4x2X = 0
15 + 3X + 55x + xF + 11xX + -20x2 + -4x2X = 0

The solution to this equation could not be determined.

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