Solve (7x^22)-(3027303030)

Question

Simplify the expression

14 x^{2} - 3027303030

Evaluate

(7 x^{2} \times 2) - 3027303030

Solution

14 x^{2} - 3027303030

Show Solution

2 (7 x^{2} - 1513651515)

Evaluate

(7 x^{2} \times 2) - 3027303030

Multiply the terms

14 x^{2} - 3027303030

Solution

2 (7 x^{2} - 1513651515)

Show Solution

x_{1} = - \frac{10595560605}{7}, x_{2} = \frac{10595560605}{7}

Alternative Form

x_{1} \approx - 14704.962792, x_{2} \approx 14704.962792

Evaluate

(7 x^{2} \times 2) - 3027303030

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

(7 x^{2} \times 2) - 3027303030 = 0

Multiply the terms

14 x^{2} - 3027303030 = 0

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

14 x^{2} = 0 + 3027303030

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

14 x^{2} = 3027303030

Divide both sides

\frac{14 x ^{2}}{14} = \frac{3027303030}{14}

Divide the numbers

x^{2} = \frac{3027303030}{14}

Cancel out the common factor 2

x^{2} = \frac{1513651515}{7}

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

x = \pm \frac{1513651515}{7}

Simplify the expression

More Steps

Evaluate

\frac{1513651515}{7}

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

\frac{1513651515}{7}

Multiply by the Conjugate

\frac{1513651515 \times 7}{7 \times 7}

Multiply the numbers

More Steps

Evaluate

1513651515 \times 7

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

1513651515 \times 7

Calculate the product

10595560605

\frac{10595560605}{7 \times 7}

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

\frac{10595560605}{7}

x = \pm \frac{10595560605}{7}

Separate the equation into 2 possible cases

x = \frac{10595560605}{7} x = - \frac{10595560605}{7}

Solution

x_{1} = - \frac{10595560605}{7}, x_{2} = \frac{10595560605}{7}

Alternative Form

x_{1} \approx - 14704.962792, x_{2} \approx 14704.962792

Show Solution