Solve 3m^26-2000-0m

Question

Simplify the expression

18 m^{2} - 2000

Evaluate

3 m^{2} \times 6 - 2000 - 0 \times m

Any expression multiplied by 0 equals 0

3 m^{2} \times 6 - 2000 - 0

Multiply the terms

18 m^{2} - 2000 - 0

Solution

18 m^{2} - 2000

Show Solution

2 (9 m^{2} - 1000)

Evaluate

3 m^{2} \times 6 - 2000 - 0 \times m

Multiply the terms

18 m^{2} - 2000 - 0 \times m

Any expression multiplied by 0 equals 0

18 m^{2} - 2000 - 0

Removing 0 doesn't change the value,so remove it from the expression

18 m^{2} - 2000

Solution

2 (9 m^{2} - 1000)

Show Solution

m_{1} = - \frac{10 10}{3}, m_{2} = \frac{10 10}{3}

Alternative Form

m_{1} \approx - 10.540926, m_{2} \approx 10.540926

Evaluate

3 m^{2} \times 6 - 2000 - 0 \times m

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

3 m^{2} \times 6 - 2000 - 0 \times m = 0

Multiply the terms

18 m^{2} - 2000 - 0 \times m = 0

Any expression multiplied by 0 equals 0

18 m^{2} - 2000 - 0 = 0

Removing 0 doesn't change the value,so remove it from the expression

18 m^{2} - 2000 = 0

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

18 m^{2} = 0 + 2000

Removing 0 doesn't change the value,so remove it from the expression

18 m^{2} = 2000

Divide both sides

\frac{18 m ^{2}}{18} = \frac{2000}{18}

Divide the numbers

m^{2} = \frac{2000}{18}

Cancel out the common factor 2

m^{2} = \frac{1000}{9}

Take the root of both sides of the equation and remember to use both positive and negative roots

m = \pm \frac{1000}{9}

Simplify the expression

More Steps

Evaluate

\frac{1000}{9}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1000}{9}

Simplify the radical expression

More Steps

Evaluate

1000

Write the expression as a product where the root of one of the factors can be evaluated

100 \times 10

Write the number in exponential form with the base of 10

1 0^{2} \times 10

The root of a product is equal to the product of the roots of each factor

1 0^{2} \times 10

Reduce the index of the radical and exponent with 2

1010

\frac{10 10}{9}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{10 10}{3}

m = \pm \frac{10 10}{3}

Separate the equation into 2 possible cases

m = \frac{10 10}{3} m = - \frac{10 10}{3}

Solution

m_{1} = - \frac{10 10}{3}, m_{2} = \frac{10 10}{3}

Alternative Form

m_{1} \approx - 10.540926, m_{2} \approx 10.540926

Show Solution