p(x)=(4x-5)(5x+4)

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Solution for p(x)=(4x-5)(5x+4) equation:


Simplifying
p(x) = (4x + -5)(5x + 4)

Multiply p * x
px = (4x + -5)(5x + 4)

Reorder the terms:
px = (-5 + 4x)(5x + 4)

Reorder the terms:
px = (-5 + 4x)(4 + 5x)

Multiply (-5 + 4x) * (4 + 5x)
px = (-5(4 + 5x) + 4x * (4 + 5x))
px = ((4 * -5 + 5x * -5) + 4x * (4 + 5x))
px = ((-20 + -25x) + 4x * (4 + 5x))
px = (-20 + -25x + (4 * 4x + 5x * 4x))
px = (-20 + -25x + (16x + 20x2))

Combine like terms: -25x + 16x = -9x
px = (-20 + -9x + 20x2)

Solving
px = -20 + -9x + 20x2

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -20x-1 + -9 + 20x

Simplifying
p = -20x-1 + -9 + 20x

Reorder the terms:
p = -9 + -20x-1 + 20x

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