The first step in solving this equation is Factor the trinomial and the required value of xis -7, -4.
What is an equation ?
In mathematics, an equation is formula thst expresses the equality of two expressions, by connecting them with equal sign = .
Now the given trinomial is-
x² + 11x + 28 = 0
Now to solve the above equation for the value of x the first step we need to do is factor the trinomial
⇒x² + (7+ 4)x + 28 = 0
⇒x² + 7x+ 4x + 28 = 0
Now combining the like terms,
⇒x(x + 7) + 4(x + 7) = 0
⇒(x + 7)(x + 4) = 0
Apply the subtraction property of equality to isolate the variable terms, we get
x = -7
and x = -4
Hence the required value of x is -4, -7.
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