Solve 98x^2 14x-12

Question

Simplify the expression

1372 x^{3} - 12

Evaluate

98 x^{2} \times 14 x - 12

Solution

More Steps

Evaluate

98 x^{2} \times 14 x

Multiply the terms

1372 x^{2} \times x

Multiply the terms with the same base by adding their exponents

1372 x^{2 + 1}

Add the numbers

1372 x^{3}

1372 x^{3} - 12

Show Solution

4 (343 x^{3} - 3)

Evaluate

98 x^{2} \times 14 x - 12

Multiply

More Steps

Evaluate

98 x^{2} \times 14 x

Multiply the terms

1372 x^{2} \times x

Multiply the terms with the same base by adding their exponents

1372 x^{2 + 1}

Add the numbers

1372 x^{3}

1372 x^{3} - 12

Solution

4 (343 x^{3} - 3)

Show Solution

x = \frac{3 3}{7}

Alternative Form

x \approx 0.206036

Evaluate

98 x^{2} \times 14 x - 12

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

98 x^{2} \times 14 x - 12 = 0

Multiply

More Steps

Multiply the terms

98 x^{2} \times 14 x

Multiply the terms

1372 x^{2} \times x

Multiply the terms with the same base by adding their exponents

1372 x^{2 + 1}

Add the numbers

1372 x^{3}

1372 x^{3} - 12 = 0

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

1372 x^{3} = 0 + 12

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

1372 x^{3} = 12

Divide both sides

\frac{1372 x ^{3}}{1372} = \frac{12}{1372}

Divide the numbers

x^{3} = \frac{12}{1372}

Cancel out the common factor 4

x^{3} = \frac{3}{343}

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

3 x^{3} = 3 \frac{3}{343}

Calculate

x = 3 \frac{3}{343}

Solution

More Steps

Evaluate

3 \frac{3}{343}

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

\frac{3 3}{3 343}

Simplify the radical expression

More Steps

Evaluate

3343

Write the number in exponential form with the base of 7

3 7^{3}

Reduce the index of the radical and exponent with 3

7

\frac{3 3}{7}

x = \frac{3 3}{7}

Alternative Form

x \approx 0.206036

Show Solution