Question

5x^2-12x-9=0 factorization ​

Answer 1

Answer:

5x^2 - 12x - 9 = 0

5x^2 - 15x + 3x - 9 = 0

5x(x - 3) + 3(x - 3) = 0

(5x + 3) (x - 3) = 0

Therefore, x= -3/5 or 3

Answer 2

Answer:

$\Large\boxed{X=-\frac{3}{5}, \quad X=3 }$

Step-by-step explanation:

GIVEN:

5x²-12x-9=0

To solve this problem, first you have to find the factors of 5x²-12x-9=0 from left to right numbers.

SOLUTIONS:

First, you used distributive property formula.

$\Large\boxed{\textnormal{DISTRIBUTIVE PROPERTY}}}$

$\displaystyle A(B+C)=AB+AC$

Solve by factors.

$\displaystyle 5x^2-12x-9$

$(5x^2+3x)+(-15x-9)$

Solve.

$5x^2+3x=x(5x+3)$

$\displaystyle -3*5x-3*3$

Common term of 3.

$\displaystyle -3(5x+3)$

$\displaystyle x(5x+3)-3(5x+3)$

Common term of 5x+3.

$\displaystyle(5x+3)(x-3)$

$\displaystyle (5x+3)(x-3)=0$

$\displaystyle 5x+3=0$

Subtract by 3 from both sides.

$\displaystyle 5x+3-3=0-3$

Solve.

$\displaystyle 5x=-3$

Divide by 5 from both sides.

$\displaystyle \frac{5x}{5}=\frac{-3}{5}$

Solve.

$\Large\boxed{x=-\frac{3}{5}}$

$\displaystyle x-3=0$

Then, you add by 3 from both sides.

$\displaystyle x-3+3=0+3$

Solve.

Add the numbers from left to right.

$\displaystyle 0+3=\boxed{3}$

$\Large\boxed{X=3}$

$\Large\boxed{X=-\frac{3}{5}, \quad X=3}$

As a result, the correct answer is x=-3/5 and x=3.