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# 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)

u^{2} + 7u - 8 = 0

Therefore, the equivalent quadratic equation is u^{2} + 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 u^{2} + 7u - 8 = 0.

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