Respuesta :
Answer
2x and -5x
Because it’s the only 2 numbers that have x’s in them
2x and -5x
Because it’s the only 2 numbers that have x’s in them
Answer:
x = -1 or x = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
2x - 3 = -5x²
This is a quadratic form of equation.
We will start by rearranging the equation, we will move all the variable to the left-hand side of the equation, which means the right-hand side of the equation will become zero.
Add 5x² to both-side of the equation
2x - 3 + 5x² = -5x² + 5x²
2x - 3 + 5x² = 0
5x² + 2x -3 = 0
Now we can now proceed to solve;
Find two factors such that it sum will give 5 and its product will give -15
The two numbers are 5 and -3 (That is 5×-3 = -15 and 5 +(-3)=2)
We will replace 2x by 5x and -3x
So that our equation becomes;
5x² + 5x -3x-3 = 0
We will now factorize
( 5x² + 5x) (-3x -3 )= 0
On the first bracket, 5x is common and so it will be factored out and on the second bracket -3 is common and so it will be factored out
5x(x + 1) -3(x + 1) = 0
(x+1)(5x-3) = 0
Either x +1 = 0 ⇒ x = -1
or
5x - 3 = 0
5x = 3
x = [tex]\frac{3}{5}[/tex]
