f(x)=(2x-3)(1-5x)

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Solution for f(x)=(2x-3)(1-5x) equation: 


Simplifying
f(x) = (2x + -3)(1 + -5x)

Multiply f * x
fx = (2x + -3)(1 + -5x)

Reorder the terms:
fx = (-3 + 2x)(1 + -5x)

Multiply (-3 + 2x) * (1 + -5x)
fx = (-3(1 + -5x) + 2x * (1 + -5x))
fx = ((1 * -3 + -5x * -3) + 2x * (1 + -5x))
fx = ((-3 + 15x) + 2x * (1 + -5x))
fx = (-3 + 15x + (1 * 2x + -5x * 2x))
fx = (-3 + 15x + (2x + -10x2))

Combine like terms: 15x + 2x = 17x
fx = (-3 + 17x + -10x2)

Solving
fx = -3 + 17x + -10x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -3x-1 + 17 + -10x

Simplifying
f = -3x-1 + 17 + -10x

Reorder the terms:
f = 17 + -3x-1 + -10x

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