f(x)=4(x+2)2-6

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Solution for f(x)=4(x+2)2-6 equation:


Simplifying
f(x) = 4(x + 2) * 2 + -6

Multiply f * x
fx = 4(x + 2) * 2 + -6

Reorder the terms:
fx = 4(2 + x) * 2 + -6

Reorder the terms for easier multiplication:
fx = 4 * 2(2 + x) + -6

Multiply 4 * 2
fx = 8(2 + x) + -6
fx = (2 * 8 + x * 8) + -6
fx = (16 + 8x) + -6

Reorder the terms:
fx = 16 + -6 + 8x

Combine like terms: 16 + -6 = 10
fx = 10 + 8x

Solving
fx = 10 + 8x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 10x-1 + 8

Simplifying
f = 10x-1 + 8

Reorder the terms:
f = 8 + 10x-1

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