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# Show that X = −2 is a Solution of 3x2 + 13x + 14 = 0. - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

#### Question

Show that x = −2 is a solution of 3x2 + 13x + 14 = 0.

#### Solution

Given that the equation  3x2 + 13x + 14 = 0

3x^2 + 7x + 6x + 14 = 0

x (3x + 7) + 2 (3x + 7) = 0

(3x + 7) (x + 2) = 0

(3x + 7) = 0

x = (-7)/3

or

(x + 2) = 0

x = - 2

Therefore, x = -2 is the solution of given equation.

Hence, proved.

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#### APPEARS IN

Solution Show that X = −2 is a Solution of 3x2 + 13x + 14 = 0. Concept: Solutions of Quadratic Equations by Factorization.
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