Answer:
x = - 5, x = 2
Step-by-step explanation:
Given
x(x + 7) = 4x + 10 ← distribute left side
x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
