Solve x^22x*10^-7 - 10^-14 = 0

Question

Solve the equation

x = \frac{3 50}{1000}

Alternative Form

x \approx 0.003684

Evaluate

x^{2} \times 2 x \times 1 0^{- 7} - 1 0^{- 14} = 0

Multiply

More Steps

2 \times 1 0^{- 7} x^{3} - 1 0^{- 14} = 0

Move the constant to the right-hand side and change its sign

2 \times 1 0^{- 7} x^{3} = 0 + 1 0^{- 14}

Add the terms

2 \times 1 0^{- 7} x^{3} = 1 0^{- 14}

Rewrite the expression

More Steps

\frac{2 x ^{3}}{1 0 ^{7}} = 1 0^{- 14}

Rewrite the expression

\frac{2 x ^{3}}{1 0 ^{7}} = \frac{1}{1 0 ^{14}}

Multiply both sides of the equation by 1 0^{7}

\frac{2 x ^{3}}{1 0 ^{7}} \times 1 0^{7} = \frac{1}{1 0 ^{14}} \times 1 0^{7}

Multiply the terms

2 x^{3} = \frac{1 0 ^{7}}{1 0 ^{14}}

Divide the terms

2 x^{3} = 1 0^{- 7}

Divide both sides

\frac{2 x ^{3}}{2} = \frac{1 0 ^{- 7}}{2}

Divide the numbers

x^{3} = \frac{1 0 ^{- 7}}{2}

Divide the numbers

More Steps

x^{3} = 5 \times 1 0^{- 8}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 5 \times 1 0^{- 8}

Calculate

x = 3 5 \times 1 0^{- 8}

Simplify the root

More Steps

x = \frac{3 50}{1 0 ^{3}}

Solution

x = \frac{3 50}{1000}

Alternative Form

x \approx 0.003684

Show Solution