As per cubic equation, there will be one real solution of the given equation.
What is a cubic equation?
"A cubic equation is an algebraic equation of degree three and is of the form ax³ + bx² + cx + d = 0. x is a variable.
Here a, b and c are the coefficients and d is the constant"
Given cubic equation is:
x³ + 6x² + 12x + 8 = 0
⇒ x²(x + 2) +4x(x + 2) + 4(x + 2) = 0
⇒ (x + 2)(x² + 4x + 4) = 0
⇒ (x + 2)(x + 2)²  = 0
⇒ (x + 2)³ = 0
⇒ x = -2
There will be one real solution of the given equation.
Learn more about cubic equation here: https://brainly.com/question/9390802
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