Solve 3v^24v-7 - ScanMath

Question

Simplify the expression

Solution

12 v^{3} - 7

Evaluate

3 v^{2} \times 4 v - 7

Solution

More Steps

Evaluate

3 v^{2} \times 4 v

Multiply the terms

12 v^{2} \times v

Multiply the terms with the same base by adding their exponents

12 v^{2 + 1}

Add the numbers

12 v^{3}

12 v^{3} - 7

Show Solution

Find the roots

Find the roots of the algebra expression

v = \frac{3 126}{6}

Alternative Form

v \approx 0.83555

Evaluate

3 v^{2} \times 4 v - 7

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

3 v^{2} \times 4 v - 7 = 0

Multiply

More Steps

Multiply the terms

3 v^{2} \times 4 v

Multiply the terms

12 v^{2} \times v

Multiply the terms with the same base by adding their exponents

12 v^{2 + 1}

Add the numbers

12 v^{3}

12 v^{3} - 7 = 0

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

12 v^{3} = 0 + 7

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

12 v^{3} = 7

Divide both sides

\frac{12 v ^{3}}{12} = \frac{7}{12}

Divide the numbers

v^{3} = \frac{7}{12}

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

3 v^{3} = 3 \frac{7}{12}

Calculate

v = 3 \frac{7}{12}

Solution

More Steps

Evaluate

3 \frac{7}{12}

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

\frac{3 7}{3 12}

Multiply by the Conjugate

\frac{3 7 \times 3 1 2 ^{2}}{3 12 \times 3 1 2 ^{2}}

Simplify

\frac{3 7 \times 2 3 18}{3 12 \times 3 1 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 2318

Multiply the terms

3126 \times 2

Use the commutative property to reorder the terms

23126

\frac{2 3 126}{3 12 \times 3 1 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

312 \times 3 1 2^{2}

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

3 12 \times 1 2^{2}

Calculate the product

3 1 2^{3}

Reduce the index of the radical and exponent with 3

12

\frac{2 3 126}{12}

Cancel out the common factor 2

\frac{3 126}{6}

v = \frac{3 126}{6}

Alternative Form

v \approx 0.83555

Show Solution

3v^24v 7

Simplify the expression

Solution

Find the roots

Find the roots of the algebra expression