Solve 3m^2 2m-5 - ScanMath

Question

Simplify the expression

6 m^{3} - 5

Evaluate

3 m^{2} \times 2 m - 5

Solution

More Steps

Evaluate

3 m^{2} \times 2 m

Multiply the terms

6 m^{2} \times m

Multiply the terms with the same base by adding their exponents

6 m^{2 + 1}

Add the numbers

6 m^{3}

6 m^{3} - 5

Show Solution

m = \frac{3 180}{6}

Alternative Form

m \approx 0.941036

Evaluate

3 m^{2} \times 2 m - 5

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

3 m^{2} \times 2 m - 5 = 0

Multiply

More Steps

Multiply the terms

3 m^{2} \times 2 m

Multiply the terms

6 m^{2} \times m

Multiply the terms with the same base by adding their exponents

6 m^{2 + 1}

Add the numbers

6 m^{3}

6 m^{3} - 5 = 0

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

6 m^{3} = 0 + 5

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

6 m^{3} = 5

Divide both sides

\frac{6 m ^{3}}{6} = \frac{5}{6}

Divide the numbers

m^{3} = \frac{5}{6}

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

3 m^{3} = 3 \frac{5}{6}

Calculate

m = 3 \frac{5}{6}

Solution

More Steps

Evaluate

3 \frac{5}{6}

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

\frac{3 5}{3 6}

Multiply by the Conjugate

\frac{3 5 \times 3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{3 5 \times 3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 336

The product of roots with the same index is equal to the root of the product

3 5 \times 36

Calculate the product

3180

\frac{3 180}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

The product of roots with the same index is equal to the root of the product

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 180}{6}

m = \frac{3 180}{6}

Alternative Form

m \approx 0.941036

Show Solution