f(x)=2(2x+5)(x-7)

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Solution for f(x)=2(2x+5)(x-7) equation: 


Simplifying
f(x) = 2(2x + 5)(x + -7)

Multiply f * x
fx = 2(2x + 5)(x + -7)

Reorder the terms:
fx = 2(5 + 2x)(x + -7)

Reorder the terms:
fx = 2(5 + 2x)(-7 + x)

Multiply (5 + 2x) * (-7 + x)
fx = 2(5(-7 + x) + 2x * (-7 + x))
fx = 2((-7 * 5 + x * 5) + 2x * (-7 + x))
fx = 2((-35 + 5x) + 2x * (-7 + x))
fx = 2(-35 + 5x + (-7 * 2x + x * 2x))
fx = 2(-35 + 5x + (-14x + 2x2))

Combine like terms: 5x + -14x = -9x
fx = 2(-35 + -9x + 2x2)
fx = (-35 * 2 + -9x * 2 + 2x2 * 2)
fx = (-70 + -18x + 4x2)

Solving
fx = -70 + -18x + 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 = -70x-1 + -18 + 4x

Simplifying
f = -70x-1 + -18 + 4x

Reorder the terms:
f = -18 + -70x-1 + 4x

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