f(x)=(6x+1)(6x+1)-13

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Solution for f(x)=(6x+1)(6x+1)-13 equation: 


Simplifying
f(x) = (6x + 1)(6x + 1) + -13

Multiply f * x
fx = (6x + 1)(6x + 1) + -13

Reorder the terms:
fx = (1 + 6x)(6x + 1) + -13

Reorder the terms:
fx = (1 + 6x)(1 + 6x) + -13

Multiply (1 + 6x) * (1 + 6x)
fx = (1(1 + 6x) + 6x * (1 + 6x)) + -13
fx = ((1 * 1 + 6x * 1) + 6x * (1 + 6x)) + -13
fx = ((1 + 6x) + 6x * (1 + 6x)) + -13
fx = (1 + 6x + (1 * 6x + 6x * 6x)) + -13
fx = (1 + 6x + (6x + 36x2)) + -13

Combine like terms: 6x + 6x = 12x
fx = (1 + 12x + 36x2) + -13

Reorder the terms:
fx = 1 + -13 + 12x + 36x2

Combine like terms: 1 + -13 = -12
fx = -12 + 12x + 36x2

Solving
fx = -12 + 12x + 36x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -12x-1 + 12 + 36x

Simplifying
f = -12x-1 + 12 + 36x

Reorder the terms:
f = 12 + -12x-1 + 36x

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