Solve 30x 13x-10 - ScanMath

Question

Simplify the expression

390 x^{2} - 10

Evaluate

30 x \times 13 x - 10

Solution

More Steps

Evaluate

30 x \times 13 x

Multiply the terms

390 x \times x

Multiply the terms

390 x^{2}

390 x^{2} - 10

Show Solution

10 (39 x^{2} - 1)

Evaluate

30 x \times 13 x - 10

Multiply

More Steps

Evaluate

30 x \times 13 x

Multiply the terms

390 x \times x

Multiply the terms

390 x^{2}

390 x^{2} - 10

Solution

10 (39 x^{2} - 1)

Show Solution

x_{1} = - \frac{39}{39}, x_{2} = \frac{39}{39}

Alternative Form

x_{1} \approx - 0.160128, x_{2} \approx 0.160128

Evaluate

30 x \times 13 x - 10

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

30 x \times 13 x - 10 = 0

Multiply

More Steps

Multiply the terms

30 x \times 13 x

Multiply the terms

390 x \times x

Multiply the terms

390 x^{2}

390 x^{2} - 10 = 0

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

390 x^{2} = 0 + 10

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

390 x^{2} = 10

Divide both sides

\frac{390 x ^{2}}{390} = \frac{10}{390}

Divide the numbers

x^{2} = \frac{10}{390}

Cancel out the common factor 10

x^{2} = \frac{1}{39}

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

x = \pm \frac{1}{39}

Simplify the expression

More Steps

Evaluate

\frac{1}{39}

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

\frac{1}{39}

Simplify the radical expression

\frac{1}{39}

Multiply by the Conjugate

\frac{39}{39 \times 39}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{39}{39}

x = \pm \frac{39}{39}

Separate the equation into 2 possible cases

x = \frac{39}{39} x = - \frac{39}{39}

Solution

x_{1} = - \frac{39}{39}, x_{2} = \frac{39}{39}

Alternative Form

x_{1} \approx - 0.160128, x_{2} \approx 0.160128

Show Solution