Solve -25x^2-(-36) 9

Question

Simplify the expression

- 25 x^{2} + 324

Evaluate

- 25 x^{2} - (- 36) \times 9

Remove the parentheses

- 25 x^{2} - (- 36 \times 9)

Multiply the numbers

- 25 x^{2} - (- 324)

Solution

- 25 x^{2} + 324

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Factor the expression

(18 - 5 x) (18 + 5 x)

Evaluate

- 25 x^{2} - (- 36) \times 9

Evaluate

More Steps

Evaluate

(- 36) \times 9

Remove the parentheses

- 36 \times 9

Multiply the numbers

- 324

- 25 x^{2} + 324

Rewrite the expression in exponential form

1 8^{2} - (5 x)^{2}

Solution

(18 - 5 x) (18 + 5 x)

Show Solution

Find the roots

x_{1} = - \frac{18}{5}, x_{2} = \frac{18}{5}

Alternative Form

x_{1} = - 3.6, x_{2} = 3.6

Evaluate

- 25 x^{2} - (- 36) \times 9

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

- 25 x^{2} - (- 36) \times 9 = 0

Remove the parentheses

- 25 x^{2} - (- 36 \times 9) = 0

Multiply the numbers

- 25 x^{2} - (- 324) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 25 x^{2} + 324 = 0

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

- 25 x^{2} = 0 - 324

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

- 25 x^{2} = - 324

Change the signs on both sides of the equation

25 x^{2} = 324

Divide both sides

\frac{25 x ^{2}}{25} = \frac{324}{25}

Divide the numbers

x^{2} = \frac{324}{25}

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

x = \pm \frac{324}{25}

Simplify the expression

More Steps

Evaluate

\frac{324}{25}

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

\frac{324}{25}

Simplify the radical expression

More Steps

Evaluate

324

Write the number in exponential form with the base of 18

1 8^{2}

Reduce the index of the radical and exponent with 2

18

\frac{18}{25}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{18}{5}

x = \pm \frac{18}{5}

Separate the equation into 2 possible cases

x = \frac{18}{5} x = - \frac{18}{5}

Solution

x_{1} = - \frac{18}{5}, x_{2} = \frac{18}{5}

Alternative Form

x_{1} = - 3.6, x_{2} = 3.6

Show Solution