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$\left(t+\dfrac{1}{3}\right)\left(t+\dfrac{2}{3}\right)=0$

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Multiplication with rational exponents

Full solution

Q.

\left(t+\dfrac{1}{3}\right)\left(t+\dfrac{2}{3}\right)=0

Apply Zero Product Property: Step $1$ : Apply the Zero Product Property. $\newline$ Since the product of two factors equals zero, at least one of the factors must be zero. $\newline$ Set each factor equal to zero: $\newline$ $t + \frac{1}{3} = 0$ and $t + \frac{2}{3} = 0$
Solve Each Equation: Step $2$ : Solve each equation. $\newline$ For $t + \frac{1}{3} = 0$ : $\newline$ Subtract $\frac{1}{3}$ from both sides: $\newline$ $t = -\frac{1}{3}$ $\newline$ For $t + \frac{2}{3} = 0$ : $\newline$ Subtract $\frac{2}{3}$ from both sides: $\newline$ $t = -\frac{2}{3}$

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