f(x)=(-7x+4)(x-3)(-6x+1)

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Solution for f(x)=(-7x+4)(x-3)(-6x+1) equation: 


Simplifying
f(x) = (-7x + 4)(x + -3)(-6x + 1)

Multiply f * x
fx = (-7x + 4)(x + -3)(-6x + 1)

Reorder the terms:
fx = (4 + -7x)(x + -3)(-6x + 1)

Reorder the terms:
fx = (4 + -7x)(-3 + x)(-6x + 1)

Reorder the terms:
fx = (4 + -7x)(-3 + x)(1 + -6x)

Multiply (4 + -7x) * (-3 + x)
fx = (4(-3 + x) + -7x * (-3 + x))(1 + -6x)
fx = ((-3 * 4 + x * 4) + -7x * (-3 + x))(1 + -6x)
fx = ((-12 + 4x) + -7x * (-3 + x))(1 + -6x)
fx = (-12 + 4x + (-3 * -7x + x * -7x))(1 + -6x)
fx = (-12 + 4x + (21x + -7x2))(1 + -6x)

Combine like terms: 4x + 21x = 25x
fx = (-12 + 25x + -7x2)(1 + -6x)

Multiply (-12 + 25x + -7x2) * (1 + -6x)
fx = (-12(1 + -6x) + 25x * (1 + -6x) + -7x2 * (1 + -6x))
fx = ((1 * -12 + -6x * -12) + 25x * (1 + -6x) + -7x2 * (1 + -6x))
fx = ((-12 + 72x) + 25x * (1 + -6x) + -7x2 * (1 + -6x))
fx = (-12 + 72x + (1 * 25x + -6x * 25x) + -7x2 * (1 + -6x))
fx = (-12 + 72x + (25x + -150x2) + -7x2 * (1 + -6x))
fx = (-12 + 72x + 25x + -150x2 + (1 * -7x2 + -6x * -7x2))
fx = (-12 + 72x + 25x + -150x2 + (-7x2 + 42x3))

Combine like terms: 72x + 25x = 97x
fx = (-12 + 97x + -150x2 + -7x2 + 42x3)

Combine like terms: -150x2 + -7x2 = -157x2
fx = (-12 + 97x + -157x2 + 42x3)

Solving
fx = -12 + 97x + -157x2 + 42x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -12x-1 + 97 + -157x + 42x2

Simplifying
f = -12x-1 + 97 + -157x + 42x2

Reorder the terms:
f = 97 + -12x-1 + -157x + 42x2

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