To solve the quadratic equation by factoring, we need to find two numbers whose sum is 14 and whose product is 49.
The two numbers that satisfy these conditions are 7 and 7.
Therefore, the quadratic equation can be factored as:
(x + 7)(x + 7) = 0
Simplifying the equation further, we have:
(x + 7)^2 = 0
To solve for the value of x, we take the square root of both sides:
√(x + 7)^2 = √0
x + 7 = 0
Subtracting 7 from both sides, we have:
x = -7
So, the value of x that solves the quadratic equation x^2 + 14x + 49 = 0 is x = -7.
Consider the following quadratic equation:
x^2+14x+49=0
Step 2 of 2 : Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary.
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