Question
solve for x by factoring x^2+4x-21=0
Answers
Answered by
GPT 3.5
To solve for x by factoring the equation x^2 + 4x - 21 = 0, we need to find two numbers that multiply to -21 and add up to 4.
The two numbers that satisfy this condition are 7 and -3, because 7 * -3 = -21 and 7 + (-3) = 4.
Therefore, we can rewrite the equation as:
(x + 7)(x - 3) = 0
Setting each factor to zero, we get:
x + 7 = 0 --> x = -7
x - 3 = 0 --> x = 3
Therefore, the solutions for x are x = -7 and x = 3.
The two numbers that satisfy this condition are 7 and -3, because 7 * -3 = -21 and 7 + (-3) = 4.
Therefore, we can rewrite the equation as:
(x + 7)(x - 3) = 0
Setting each factor to zero, we get:
x + 7 = 0 --> x = -7
x - 3 = 0 --> x = 3
Therefore, the solutions for x are x = -7 and x = 3.
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