f(x)=-16(x-1)(x-1)+65

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Solution for f(x)=-16(x-1)(x-1)+65 equation: 


Simplifying
f(x) = -16(x + -1)(x + -1) + 65

Multiply f * x
fx = -16(x + -1)(x + -1) + 65

Reorder the terms:
fx = -16(-1 + x)(x + -1) + 65

Reorder the terms:
fx = -16(-1 + x)(-1 + x) + 65

Multiply (-1 + x) * (-1 + x)
fx = -16(-1(-1 + x) + x(-1 + x)) + 65
fx = -16((-1 * -1 + x * -1) + x(-1 + x)) + 65
fx = -16((1 + -1x) + x(-1 + x)) + 65
fx = -16(1 + -1x + (-1 * x + x * x)) + 65
fx = -16(1 + -1x + (-1x + x2)) + 65

Combine like terms: -1x + -1x = -2x
fx = -16(1 + -2x + x2) + 65
fx = (1 * -16 + -2x * -16 + x2 * -16) + 65
fx = (-16 + 32x + -16x2) + 65

Reorder the terms:
fx = -16 + 65 + 32x + -16x2

Combine like terms: -16 + 65 = 49
fx = 49 + 32x + -16x2

Solving
fx = 49 + 32x + -16x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 49x-1 + 32 + -16x

Simplifying
f = 49x-1 + 32 + -16x

Reorder the terms:
f = 32 + 49x-1 + -16x

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