Factorize the equation:
$a^{2}+4 a-21$

Answer

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Answer

Final Answer: The factorized form of the equation $a^{2}+4 a-21$ is $\boxed{(a - 3)(a + 7) = 0}$.

Steps

Step 1 ：Given the equation $a^{2}+4 a-21$.

Step 2 ：We need to find two numbers that add up to 4 and multiply to -21.

Step 3 ：The two numbers that satisfy these conditions are 7 and -3 because 7 + (-3) = 4 and 7 * (-3) = -21.

Step 4 ：Now, we can rewrite the given equation in its factorized form.

Step 5 ：The factorized form of the equation is $(a - 3)(a + 7) = 0$.

Step 6 ：Final Answer: The factorized form of the equation $a^{2}+4 a-21$ is $\boxed{(a - 3)(a + 7) = 0}$.