Consider the following quadratic equation:
x^2+14x+49=0
Step 1 of 2 : Using the standard form ax2+bx+c=0
of the given quadratic equation, factor the left hand side of the equation into two linear factors.
To factor the left-hand side of the quadratic equation, we need to find two numbers that multiply to give us 49 and add up to 14.
Let's consider the factors of 49: 1, 7, 49.
We want two factors that add up to 14, so the factors we are looking for are 7 and 7.
Therefore, we can factor the left-hand side of the equation as:
(x + 7)(x + 7) = 0