Respuesta :

wegnerkolmp2741o

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

alinakincsem

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.

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