F(x)=(2x+5)(x+3i)(x-3i)

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Solution for F(x)=(2x+5)(x+3i)(x-3i) equation: 


Simplifying
F(x) = (2x + 5)(x + 3i)(x + -3i)

Multiply F * x
xF = (2x + 5)(x + 3i)(x + -3i)

Reorder the terms:
xF = (5 + 2x)(x + 3i)(x + -3i)

Reorder the terms:
xF = (5 + 2x)(3i + x)(x + -3i)

Reorder the terms:
xF = (5 + 2x)(3i + x)(-3i + x)

Multiply (5 + 2x) * (3i + x)
xF = (5(3i + x) + 2x * (3i + x))(-3i + x)
xF = ((3i * 5 + x * 5) + 2x * (3i + x))(-3i + x)
xF = ((15i + 5x) + 2x * (3i + x))(-3i + x)
xF = (15i + 5x + (3i * 2x + x * 2x))(-3i + x)
xF = (15i + 5x + (6ix + 2x2))(-3i + x)

Reorder the terms:
xF = (15i + 6ix + 5x + 2x2)(-3i + x)
xF = (15i + 6ix + 5x + 2x2)(-3i + x)

Multiply (15i + 6ix + 5x + 2x2) * (-3i + x)
xF = (15i * (-3i + x) + 6ix * (-3i + x) + 5x * (-3i + x) + 2x2 * (-3i + x))
xF = ((-3i * 15i + x * 15i) + 6ix * (-3i + x) + 5x * (-3i + x) + 2x2 * (-3i + x))

Reorder the terms:
xF = ((15ix + -45i2) + 6ix * (-3i + x) + 5x * (-3i + x) + 2x2 * (-3i + x))
xF = ((15ix + -45i2) + 6ix * (-3i + x) + 5x * (-3i + x) + 2x2 * (-3i + x))
xF = (15ix + -45i2 + (-3i * 6ix + x * 6ix) + 5x * (-3i + x) + 2x2 * (-3i + x))

Reorder the terms:
xF = (15ix + -45i2 + (6ix2 + -18i2x) + 5x * (-3i + x) + 2x2 * (-3i + x))
xF = (15ix + -45i2 + (6ix2 + -18i2x) + 5x * (-3i + x) + 2x2 * (-3i + x))
xF = (15ix + -45i2 + 6ix2 + -18i2x + (-3i * 5x + x * 5x) + 2x2 * (-3i + x))
xF = (15ix + -45i2 + 6ix2 + -18i2x + (-15ix + 5x2) + 2x2 * (-3i + x))
xF = (15ix + -45i2 + 6ix2 + -18i2x + -15ix + 5x2 + (-3i * 2x2 + x * 2x2))
xF = (15ix + -45i2 + 6ix2 + -18i2x + -15ix + 5x2 + (-6ix2 + 2x3))

Reorder the terms:
xF = (15ix + -15ix + 6ix2 + -6ix2 + -45i2 + -18i2x + 5x2 + 2x3)

Combine like terms: 15ix + -15ix = 0
xF = (0 + 6ix2 + -6ix2 + -45i2 + -18i2x + 5x2 + 2x3)
xF = (6ix2 + -6ix2 + -45i2 + -18i2x + 5x2 + 2x3)

Combine like terms: 6ix2 + -6ix2 = 0
xF = (0 + -45i2 + -18i2x + 5x2 + 2x3)
xF = (-45i2 + -18i2x + 5x2 + 2x3)

Solving
xF = -45i2 + -18i2x + 5x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
45i2 + 18i2x + xF + -5x2 + -2x3 = -45i2 + -18i2x + 5x2 + 2x3 + 45i2 + 18i2x + -5x2 + -2x3

Reorder the terms:
45i2 + 18i2x + xF + -5x2 + -2x3 = -45i2 + 45i2 + -18i2x + 18i2x + 5x2 + -5x2 + 2x3 + -2x3

Combine like terms: -45i2 + 45i2 = 0
45i2 + 18i2x + xF + -5x2 + -2x3 = 0 + -18i2x + 18i2x + 5x2 + -5x2 + 2x3 + -2x3
45i2 + 18i2x + xF + -5x2 + -2x3 = -18i2x + 18i2x + 5x2 + -5x2 + 2x3 + -2x3

Combine like terms: -18i2x + 18i2x = 0
45i2 + 18i2x + xF + -5x2 + -2x3 = 0 + 5x2 + -5x2 + 2x3 + -2x3
45i2 + 18i2x + xF + -5x2 + -2x3 = 5x2 + -5x2 + 2x3 + -2x3

Combine like terms: 5x2 + -5x2 = 0
45i2 + 18i2x + xF + -5x2 + -2x3 = 0 + 2x3 + -2x3
45i2 + 18i2x + xF + -5x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
45i2 + 18i2x + xF + -5x2 + -2x3 = 0

The solution to this equation could not be determined.

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