Answer:
x = 3, x =
Explanation:
(a)
The first step is to subtract 23x from both sides, that is
7x² - 23x + 6 = 0 ← in standard form
(b)
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × 6 = 42 and sum = - 23
The factors are - 21 and - 2
Use these factors to split the x- term
7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )
7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
7x - 2 = 0 ⇒ 7x = 2 ⇒ x =