f(x)=3(x-2)(x+5)

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


Simplifying
f(x) = 3(x + -2)(x + 5)

Multiply f * x
fx = 3(x + -2)(x + 5)

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

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

Multiply (-2 + x) * (5 + x)
fx = 3(-2(5 + x) + x(5 + x))
fx = 3((5 * -2 + x * -2) + x(5 + x))
fx = 3((-10 + -2x) + x(5 + x))
fx = 3(-10 + -2x + (5 * x + x * x))
fx = 3(-10 + -2x + (5x + x2))

Combine like terms: -2x + 5x = 3x
fx = 3(-10 + 3x + x2)
fx = (-10 * 3 + 3x * 3 + x2 * 3)
fx = (-30 + 9x + 3x2)

Solving
fx = -30 + 9x + 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 = -30x-1 + 9 + 3x

Simplifying
f = -30x-1 + 9 + 3x

Reorder the terms:
f = 9 + -30x-1 + 3x

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