Solve y^2y-3y^5y 10=42

Evaluate

y^{2} \times y - 3 y^{5} \times y \times 10 = 42

Simplify

More Steps

y^{3} - 30 y^{6} = 42

Move the expression to the left side

y^{3} - 30 y^{6} - 42 = 0

Solve the equation using substitution t = y^{3}

t - 30 t^{2} - 42 = 0

Rewrite in standard form

- 30 t^{2} + t - 42 = 0

Multiply both sides

30 t^{2} - t + 42 = 0

Substitute a= 30,b= - 1 and c= 42 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 30 \times 42}{2 \times 30}

Simplify the expression

t = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 30 \times 42}{60}

Simplify the expression

More Steps

t = \frac{1 \pm - 5039}{60}

The expression is undefined in the set of real numbers

t \in / R

Solution

y \in / R

Alternative Form

No real solution

Solve the equation