Question

PLEAS HELP FAST !! solve the equation below. please include the steps. x^2+8x+15=0

Answer 1

Answer:

$x_{1} =-5\\and \\x_{2} =-3$

Step-by-step explanation:

Solve by using factoring ------->

rewrite the expresion

x^2+8x+15=0

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

factor out x from the expression

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

xx(x+5)+3x+15=0

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

factor out x+5 from expression

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

when the product of factors equals 0, at least one factor is 0

x+5=0

x+3=0

solve the equation for x

x = -5

x = -3

the equation has 2 solutions

$x_{1} =-5, x_{2} =-3$

Step-by-step Explanation:

Quadratic formula

$x=\frac{-8+\sqrt{8^{2} -4x1x15} }{2x1}$

any expression multiplied by 1 remains the same

$x=\frac{-8+\sqrt{8^{2}-4x15 } }{2}$

evaluate the power

$x=\frac{-8+\sqrt{64-4x15} }{2}$

multiply the numbers

$x=\frac{-8+\sqrt{64-60} }{2}$

subtract the numbers

$x=\frac{8+\sqrt{4} }{2}$

calculate the square root

$x=\frac{-8+2}{2}$

write solution with a + sign and a - sign

$x=\frac{-8+2}{2} \\x=\frac{-8-2}{2}$

calculate the value

$x=-3\\x=-5$

the equation has 2 solutions

$x=-3\\x=-5 \\and\\x_{1} =-5\\x_{2} =-3$

Answer 2

(x + 5)(x + 3)
x+5=0, solve it and you get -5.
x+3=0, solve it and you get -3.

The answers are -5 and -3.