g^2-10g+21=0 use factorization to solve for the unknown
To solve the equation g^2-10g+21=0 using factorization, we need to find two numbers that multiply to 21 and add up to -10 (the coefficient of the middle term). These numbers are -7 and -3. Therefore, we can rewrite the equation as:
(g-7)(g-3) = 0
To solve for g, we set each factor equal to 0 and solve for g:
g-7 = 0 or g-3 = 0
g = 7 or g = 3
Therefore, the solutions to the equation g^2-10g+21=0 are g = 7 and g = 3.