f(x)=3(x-4)(x+9)

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Solution for f(x)=3(x-4)(x+9) equation: 


Simplifying
f(x) = 3(x + -4)(x + 9)

Multiply f * x
fx = 3(x + -4)(x + 9)

Reorder the terms:
fx = 3(-4 + x)(x + 9)

Reorder the terms:
fx = 3(-4 + x)(9 + x)

Multiply (-4 + x) * (9 + x)
fx = 3(-4(9 + x) + x(9 + x))
fx = 3((9 * -4 + x * -4) + x(9 + x))
fx = 3((-36 + -4x) + x(9 + x))
fx = 3(-36 + -4x + (9 * x + x * x))
fx = 3(-36 + -4x + (9x + x2))

Combine like terms: -4x + 9x = 5x
fx = 3(-36 + 5x + x2)
fx = (-36 * 3 + 5x * 3 + x2 * 3)
fx = (-108 + 15x + 3x2)

Solving
fx = -108 + 15x + 3x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -108x-1 + 15 + 3x

Simplifying
f = -108x-1 + 15 + 3x

Reorder the terms:
f = 15 + -108x-1 + 3x

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