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

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


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

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

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

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

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

Combine like terms: 3x + -10x = -7x
fx = (-15 + -7x + 2x2)

Solving
fx = -15 + -7x + 2x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -15x-1 + -7 + 2x

Simplifying
f = -15x-1 + -7 + 2x

Reorder the terms:
f = -7 + -15x-1 + 2x

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