Solve -10 root(14x^2x10)/2x^2

Question

Simplify the expression

- 10 x^{3} 35 x

Show Solution

x = 0

Evaluate

- (10 \times \frac{14 x ^{2} \times x \times 10}{2}) x^{2}

To find the roots of the expression,set the expression equal to 0

- (10 \times \frac{14 x ^{2} \times x \times 10}{2}) x^{2} = 0

Find the domain

More Steps

- (10 \times \frac{14 x ^{2} \times x \times 10}{2}) x^{2} = 0, x \geq 0

Calculate

- (10 \times \frac{14 x ^{2} \times x \times 10}{2}) x^{2} = 0

Multiply

More Steps

- (10 \times \frac{140 x ^{3}}{2}) x^{2} = 0

Simplify the root

More Steps

- (10 \times \frac{2 x 35 x}{2}) x^{2} = 0

Reduce the fraction

- (10 x 35 x) x^{2} = 0

Multiply

- 10 x 35 x \times x^{2} = 0

Multiply the terms

More Steps

- 10 x^{3} 35 x = 0

Change the sign

10 x^{3} 35 x = 0

Elimination the left coefficient

x^{3} 35 x = 0

Separate the equation into 2 possible cases

x^{3} = 0 35 x = 0

The only way a power can be 0 is when the base equals 0

x = 0 35 x = 0

Solve the equation

More Steps

x = 0 x = 0

Find the union

x = 0

Check if the solution is in the defined range

x = 0, x \geq 0

Solution

x = 0

Show Solution