Solve for x x^2+2x-3=0

Problem

x2+2*x−3=0

Solution

1. Identify the coefficients of the quadratic equation in the form a*x2+b*x+c=0 where a=1 b=2 and c=−3

2. Factor the quadratic expression by finding two numbers that multiply to c=−3 and add to b=2

3. Determine that the numbers are 3 and −1 since 3⋅(−1)=−3 and 3 + (-1) = 2$.

4. Rewrite the equation in factored form.

(x+3)*(x−1)=0

5. Apply the zero product property by setting each factor equal to zero.

x+3=0

x−1=0

6. Solve each linear equation for x

x=−3

x=1

Final Answer

x=−3,1

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