What is factor (5x)^2+45x-12 ?

The solution to factor (5x)^2+45x-12 is 25(x-(-9+sqrt(129))/(10))(x-(-9-sqrt(129))/(10))

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factor (5x)^2+45x-12

factor

(5 x)^{2} + 45 x - 12

25 (x - \frac{- 9 + 129}{10}) (x - \frac{- 9 - 129}{10})

Solution steps

(5 x)^{2} + 45 x - 12

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 5^{2} x^{2} + 45 x - 12

Rewrite as

= 5^{2} (x^{2} + \frac{9 x}{5} - \frac{12}{25})

Factor

x^{2} + \frac{9 x}{5} - \frac{12}{25} : (x - \frac{129 - 9}{10}) (x - \frac{- 9 - 129}{10})

5^{2} (x - \frac{129 - 9}{10}) (x - \frac{- 9 - 129}{10})

5^{2} = 25

= 25 (x - \frac{129 - 9}{10}) (x - \frac{- 9 - 129}{10})

- (\frac{- 1 + 17}{2}) - 4

x^{(4)} + x^{(3)} + x^{(2)} + x - 2

(3^{x})^{2} + 3^{x} - 6

a^{6} b^{6} - 1000 x^{3}

(m^{2} - n^{2}) + 2 mn

What is factor (5x)^2+45x-12 ?
The solution to factor (5x)^2+45x-12 is 25(x-(-9+sqrt(129))/(10))(x-(-9-sqrt(129))/(10))