Solve x15x-20=12x^4

Evaluate

x \times 15 x - 20 = 12 x^{4}

Multiply

More Steps

15 x^{2} - 20 = 12 x^{4}

Move the expression to the left side

15 x^{2} - 20 - 12 x^{4} = 0

Solve the equation using substitution t = x^{2}

15 t - 20 - 12 t^{2} = 0

Rewrite in standard form

- 12 t^{2} + 15 t - 20 = 0

Multiply both sides

12 t^{2} - 15 t + 20 = 0

Substitute a= 12,b= - 15 and c= 20 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{15 \pm ( - 15 ) ^{2} - 4 \times 12 \times 20}{2 \times 12}

Simplify the expression

t = \frac{15 \pm ( - 15 ) ^{2} - 4 \times 12 \times 20}{24}

Simplify the expression

More Steps

t = \frac{15 \pm - 735}{24}

The expression is undefined in the set of real numbers

t \in / R

Solution

x \in / R

Alternative Form

No real solution

Solve the equation