g(x)=x(x+5)(x-5)(x+1)62

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Solution for g(x)=x(x+5)(x-5)(x+1)62 equation:


Simplifying
g(x) = x(x + 5)(x + -5)(x + 1) * 62

Multiply g * x
gx = x(x + 5)(x + -5)(x + 1) * 62

Reorder the terms:
gx = x(5 + x)(x + -5)(x + 1) * 62

Reorder the terms:
gx = x(5 + x)(-5 + x)(x + 1) * 62

Reorder the terms:
gx = x(5 + x)(-5 + x)(1 + x) * 62

Reorder the terms for easier multiplication:
gx = 62x(5 + x)(-5 + x)(1 + x)

Multiply (5 + x) * (-5 + x)
gx = 62x(5(-5 + x) + x(-5 + x))(1 + x)
gx = 62x((-5 * 5 + x * 5) + x(-5 + x))(1 + x)
gx = 62x((-25 + 5x) + x(-5 + x))(1 + x)
gx = 62x(-25 + 5x + (-5 * x + x * x))(1 + x)
gx = 62x(-25 + 5x + (-5x + x2))(1 + x)

Combine like terms: 5x + -5x = 0
gx = 62x(-25 + 0 + x2)(1 + x)
gx = 62x(-25 + x2)(1 + x)

Multiply (-25 + x2) * (1 + x)
gx = 62x(-25(1 + x) + x2(1 + x))
gx = 62x((1 * -25 + x * -25) + x2(1 + x))
gx = 62x((-25 + -25x) + x2(1 + x))
gx = 62x(-25 + -25x + (1 * x2 + x * x2))
gx = 62x(-25 + -25x + (1x2 + x3))
gx = 62x(-25 + -25x + 1x2 + x3)
gx = (-25 * 62x + -25x * 62x + 1x2 * 62x + x3 * 62x)
gx = (-1550x + -1550x2 + 62x3 + 62x4)

Solving
gx = -1550x + -1550x2 + 62x3 + 62x4

Solving for variable 'g'.

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

Divide each side by 'x'.
g = -1550 + -1550x + 62x2 + 62x3

Simplifying
g = -1550 + -1550x + 62x2 + 62x3

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