Solve p(p-1)=q(q-1)(q 1)

Evaluate

p (p - 1) = q (q - 1) (q \times 1)

Remove the parentheses

p (p - 1) = q (q - 1) q \times 1

Multiply the terms

More Steps

p (p - 1) = q^{2} (q - 1)

Rewrite the expression

p (p - 1) = q^{3} - q^{2}

Expand the expression

More Steps

p^{2} - p = q^{3} - q^{2}

Move the expression to the left side

p^{2} - p - (q^{3} - q^{2}) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

p^{2} - p - q^{3} + q^{2} = 0

Substitute a= 1,b= - 1 and c= - q^{3} + q^{2} into the quadratic formula p = \frac{- b \pm b ^{2} - 4 a c}{2 a}

p = \frac{1 \pm ( - 1 ) ^{2} - 4 ( - q ^{3} + q ^{2} )}{2}

Simplify the expression

More Steps

p = \frac{1 \pm 1 + 4 q ^{3} - 4 q ^{2}}{2}

Solution

p = \frac{1 + 1 + 4 q ^{3} - 4 q ^{2}}{2} p = \frac{1 - 1 + 4 q ^{3} - 4 q ^{2}}{2}

Solve the equation