Use substitution to write an equivalent quadratic equation. (3x + 2)² + 7(3x + 2) - 8 = 0

Solution:

(3x + 2)² + 7(3x + 2) - 8 = 0 …. (1)

Consider 3x + 2 = u …. (2)

Substituting it in quadratic equation (1)

u² + 7u - 8 = 0

Therefore, the equivalent quadratic equation is u² + 7u - 8 = 0.

Use substitution to write an equivalent quadratic equation. (3x + 2)² + 7(3x + 2) - 8 = 0

Summary:

Using substitution, the equivalent quadratic equation of (3x + 2)² + 7(3x + 2) - 8 = 0 is u² + 7u - 8 = 0.