Question

# Solve  $$2{{x}^{2}}+13x+21=0$$

Solution

## Consider given equation, $$2{{x}^{2}}+13x+21=0$$ $$2{{x}^{2}}+7x+6x+21=0$$ $$2x\left( x+7 \right)+3\left( x+7 \right)=0$$ $$\left( x+7 \right)\left( 2x+3 \right)=0$$ When, x+7=0 $$x=-7$$ When, $$2x+3=0$$ $$x=\dfrac{-3}{2}$$ Hence, this is the answer.Mathematics

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