X1= -3/2
X2= 0
F(x)=4x^2+6x
To find X-intercept/zero, substitute f(x)=0
0=4x^2+6x
Move the constant to the right
4x^2+6x=0
Factor out 2x from the expression
2x(2x+3)=0
Divide both sides of the equation
2x(2x+3)/2=0/2
X(2x+3)=0
When the product of factors equals 0, at least one factor is 0.
X=0
2x+3=0
Next you solve for X by moving the constant to the right
2x=-3
Then divide both sides by 2
X=-3/2
Hope this answers your question.
