can someone show me how to solve the equation x2 + 9x = -14.
add 14 to each side. Factor, try 2,7 as factors.
add 14 to each side. Factor, try 2,7 as factors.
To solve the equation x^2 + 9x = -14, we can follow these steps:
Step 1: Add 14 to both sides of the equation to isolate the x^2 term on the left side:
x^2 + 9x + 14 = 0
Step 2: Now, let's factor the quadratic expression on the left side of the equation. We need to find two numbers that multiply to give 14 and add up to give 9, the coefficient of the x term. In this case, those numbers are 2 and 7:
(x + 2)(x + 7) = 0
Step 3: Setting each factor equal to zero, we have:
x + 2 = 0 or x + 7 = 0
Step 4: Solve for x in each equation:
For x + 2 = 0:
x = -2
For x + 7 = 0:
x = -7
So, the solution to the equation x^2 + 9x = -14 is x = -2 and x = -7.
By adding 14 to each side of the equation, we isolated the x^2 term. Then, by factoring the quadratic expression and setting each factor equal to zero, we found the values of x that satisfy the equation.