g(x)=3x(x^2-14x+49)(x^2-33x+256)

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Solution for g(x)=3x(x^2-14x+49)(x^2-33x+256) equation:


Simplifying
g(x) = 3x(x2 + -14x + 49)(x2 + -33x + 256)

Multiply g * x
gx = 3x(x2 + -14x + 49)(x2 + -33x + 256)

Reorder the terms:
gx = 3x(49 + -14x + x2)(x2 + -33x + 256)

Reorder the terms:
gx = 3x(49 + -14x + x2)(256 + -33x + x2)

Multiply (49 + -14x + x2) * (256 + -33x + x2)
gx = 3x(49(256 + -33x + x2) + -14x * (256 + -33x + x2) + x2(256 + -33x + x2))
gx = 3x((256 * 49 + -33x * 49 + x2 * 49) + -14x * (256 + -33x + x2) + x2(256 + -33x + x2))
gx = 3x((12544 + -1617x + 49x2) + -14x * (256 + -33x + x2) + x2(256 + -33x + x2))
gx = 3x(12544 + -1617x + 49x2 + (256 * -14x + -33x * -14x + x2 * -14x) + x2(256 + -33x + x2))
gx = 3x(12544 + -1617x + 49x2 + (-3584x + 462x2 + -14x3) + x2(256 + -33x + x2))
gx = 3x(12544 + -1617x + 49x2 + -3584x + 462x2 + -14x3 + (256 * x2 + -33x * x2 + x2 * x2))
gx = 3x(12544 + -1617x + 49x2 + -3584x + 462x2 + -14x3 + (256x2 + -33x3 + x4))

Reorder the terms:
gx = 3x(12544 + -1617x + -3584x + 49x2 + 462x2 + 256x2 + -14x3 + -33x3 + x4)

Combine like terms: -1617x + -3584x = -5201x
gx = 3x(12544 + -5201x + 49x2 + 462x2 + 256x2 + -14x3 + -33x3 + x4)

Combine like terms: 49x2 + 462x2 = 511x2
gx = 3x(12544 + -5201x + 511x2 + 256x2 + -14x3 + -33x3 + x4)

Combine like terms: 511x2 + 256x2 = 767x2
gx = 3x(12544 + -5201x + 767x2 + -14x3 + -33x3 + x4)

Combine like terms: -14x3 + -33x3 = -47x3
gx = 3x(12544 + -5201x + 767x2 + -47x3 + x4)
gx = (12544 * 3x + -5201x * 3x + 767x2 * 3x + -47x3 * 3x + x4 * 3x)
gx = (37632x + -15603x2 + 2301x3 + -141x4 + 3x5)

Solving
gx = 37632x + -15603x2 + 2301x3 + -141x4 + 3x5

Solving for variable 'g'.

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

Divide each side by 'x'.
g = 37632 + -15603x + 2301x2 + -141x3 + 3x4

Simplifying
g = 37632 + -15603x + 2301x2 + -141x3 + 3x4

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