B(x)=(2x-4)(3x-5)(3x+6)

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Solution for B(x)=(2x-4)(3x-5)(3x+6) equation: 


Simplifying
B(x) = (2x + -4)(3x + -5)(3x + 6)

Multiply B * x
xB = (2x + -4)(3x + -5)(3x + 6)

Reorder the terms:
xB = (-4 + 2x)(3x + -5)(3x + 6)

Reorder the terms:
xB = (-4 + 2x)(-5 + 3x)(3x + 6)

Reorder the terms:
xB = (-4 + 2x)(-5 + 3x)(6 + 3x)

Multiply (-4 + 2x) * (-5 + 3x)
xB = (-4(-5 + 3x) + 2x * (-5 + 3x))(6 + 3x)
xB = ((-5 * -4 + 3x * -4) + 2x * (-5 + 3x))(6 + 3x)
xB = ((20 + -12x) + 2x * (-5 + 3x))(6 + 3x)
xB = (20 + -12x + (-5 * 2x + 3x * 2x))(6 + 3x)
xB = (20 + -12x + (-10x + 6x2))(6 + 3x)

Combine like terms: -12x + -10x = -22x
xB = (20 + -22x + 6x2)(6 + 3x)

Multiply (20 + -22x + 6x2) * (6 + 3x)
xB = (20(6 + 3x) + -22x * (6 + 3x) + 6x2 * (6 + 3x))
xB = ((6 * 20 + 3x * 20) + -22x * (6 + 3x) + 6x2 * (6 + 3x))
xB = ((120 + 60x) + -22x * (6 + 3x) + 6x2 * (6 + 3x))
xB = (120 + 60x + (6 * -22x + 3x * -22x) + 6x2 * (6 + 3x))
xB = (120 + 60x + (-132x + -66x2) + 6x2 * (6 + 3x))
xB = (120 + 60x + -132x + -66x2 + (6 * 6x2 + 3x * 6x2))
xB = (120 + 60x + -132x + -66x2 + (36x2 + 18x3))

Combine like terms: 60x + -132x = -72x
xB = (120 + -72x + -66x2 + 36x2 + 18x3)

Combine like terms: -66x2 + 36x2 = -30x2
xB = (120 + -72x + -30x2 + 18x3)

Solving
xB = 120 + -72x + -30x2 + 18x3

Solving for variable 'x'.

Reorder the terms:
-120 + 72x + xB + 30x2 + -18x3 = 120 + -72x + -30x2 + 18x3 + -120 + 72x + 30x2 + -18x3

Reorder the terms:
-120 + 72x + xB + 30x2 + -18x3 = 120 + -120 + -72x + 72x + -30x2 + 30x2 + 18x3 + -18x3

Combine like terms: 120 + -120 = 0
-120 + 72x + xB + 30x2 + -18x3 = 0 + -72x + 72x + -30x2 + 30x2 + 18x3 + -18x3
-120 + 72x + xB + 30x2 + -18x3 = -72x + 72x + -30x2 + 30x2 + 18x3 + -18x3

Combine like terms: -72x + 72x = 0
-120 + 72x + xB + 30x2 + -18x3 = 0 + -30x2 + 30x2 + 18x3 + -18x3
-120 + 72x + xB + 30x2 + -18x3 = -30x2 + 30x2 + 18x3 + -18x3

Combine like terms: -30x2 + 30x2 = 0
-120 + 72x + xB + 30x2 + -18x3 = 0 + 18x3 + -18x3
-120 + 72x + xB + 30x2 + -18x3 = 18x3 + -18x3

Combine like terms: 18x3 + -18x3 = 0
-120 + 72x + xB + 30x2 + -18x3 = 0

The solution to this equation could not be determined.

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