f(x)=(7x+8)(8x-9)

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Solution for f(x)=(7x+8)(8x-9) equation: 


Simplifying
f(x) = (7x + 8)(8x + -9)

Multiply f * x
fx = (7x + 8)(8x + -9)

Reorder the terms:
fx = (8 + 7x)(8x + -9)

Reorder the terms:
fx = (8 + 7x)(-9 + 8x)

Multiply (8 + 7x) * (-9 + 8x)
fx = (8(-9 + 8x) + 7x * (-9 + 8x))
fx = ((-9 * 8 + 8x * 8) + 7x * (-9 + 8x))
fx = ((-72 + 64x) + 7x * (-9 + 8x))
fx = (-72 + 64x + (-9 * 7x + 8x * 7x))
fx = (-72 + 64x + (-63x + 56x2))

Combine like terms: 64x + -63x = 1x
fx = (-72 + 1x + 56x2)

Solving
fx = -72 + 1x + 56x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -72x-1 + 1 + 56x

Simplifying
f = -72x-1 + 1 + 56x

Reorder the terms:
f = 1 + -72x-1 + 56x

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