f(x)=2(2x+1)(x-7)

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Solution for f(x)=2(2x+1)(x-7) equation: 


Simplifying
f(x) = 2(2x + 1)(x + -7)

Multiply f * x
fx = 2(2x + 1)(x + -7)

Reorder the terms:
fx = 2(1 + 2x)(x + -7)

Reorder the terms:
fx = 2(1 + 2x)(-7 + x)

Multiply (1 + 2x) * (-7 + x)
fx = 2(1(-7 + x) + 2x * (-7 + x))
fx = 2((-7 * 1 + x * 1) + 2x * (-7 + x))
fx = 2((-7 + 1x) + 2x * (-7 + x))
fx = 2(-7 + 1x + (-7 * 2x + x * 2x))
fx = 2(-7 + 1x + (-14x + 2x2))

Combine like terms: 1x + -14x = -13x
fx = 2(-7 + -13x + 2x2)
fx = (-7 * 2 + -13x * 2 + 2x2 * 2)
fx = (-14 + -26x + 4x2)

Solving
fx = -14 + -26x + 4x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -14x-1 + -26 + 4x

Simplifying
f = -14x-1 + -26 + 4x

Reorder the terms:
f = -26 + -14x-1 + 4x

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