f(x)=(x-5)(x-5)-30

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Solution for f(x)=(x-5)(x-5)-30 equation: 


Simplifying
f(x) = (x + -5)(x + -5) + -30

Multiply f * x
fx = (x + -5)(x + -5) + -30

Reorder the terms:
fx = (-5 + x)(x + -5) + -30

Reorder the terms:
fx = (-5 + x)(-5 + x) + -30

Multiply (-5 + x) * (-5 + x)
fx = (-5(-5 + x) + x(-5 + x)) + -30
fx = ((-5 * -5 + x * -5) + x(-5 + x)) + -30
fx = ((25 + -5x) + x(-5 + x)) + -30
fx = (25 + -5x + (-5 * x + x * x)) + -30
fx = (25 + -5x + (-5x + x2)) + -30

Combine like terms: -5x + -5x = -10x
fx = (25 + -10x + x2) + -30

Reorder the terms:
fx = 25 + -30 + -10x + x2

Combine like terms: 25 + -30 = -5
fx = -5 + -10x + x2

Solving
fx = -5 + -10x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -5x-1 + -10 + x

Simplifying
f = -5x-1 + -10 + x

Reorder the terms:
f = -10 + -5x-1 + x

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