Solve 2x^2-16x^32 x=4

Evaluate

2 x^{2} - 16 x^{3} \times 2 x = 4

Multiply

More Steps

2 x^{2} - 32 x^{4} = 4

Move the expression to the left side

2 x^{2} - 32 x^{4} - 4 = 0

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

2 t - 32 t^{2} - 4 = 0

Rewrite in standard form

- 32 t^{2} + 2 t - 4 = 0

Multiply both sides

32 t^{2} - 2 t + 4 = 0

Substitute a= 32,b= - 2 and c= 4 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 32 \times 4}{2 \times 32}

Simplify the expression

t = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 32 \times 4}{64}

Simplify the expression

More Steps

t = \frac{2 \pm - 508}{64}

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