Answer:
x = −10 and x = 4
Step-by-step explanation:
x2 + 6x = 40
Subtract 40 from each side
x^2 + 6x -40 =0
Factor, what 2 numbers multiply to -40 and add to 6
10 * -4 = -40 10+-4 = 6
(x+10) (x-4) = 0
Using the zero product property
x+10 =0 x-4=0
x=-10 x=4
Answer:
x = −10 and x = 4
Step-by-step explanation:
We are given the following quadratic equation and we are to solve it to find the two solution for the variable x:
[tex]x^2+6x=40[/tex]
Rearranging the equation by putting the constant on the same side as the variables to get:
[tex]x^{2} +6x-40=0[/tex]
Now factorizing it to get:
[tex]x^{2} -4x+10x-40=0\\\\x(x-4)+10(x-4)=0\\\\(x+10)(x-4)=0\\\\x= -10, x= 4[/tex]
Therefore, the solution to the given quadratic equation [tex]x^2+6x=40[/tex] are x = −10 and x = 4.
