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What is the sum of the solutions to the equation $(t+3)(t-357)=0$ ?

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Solve advanced linear inequalities

Full solution

Q. What is the sum of the solutions to the equation

(t+3)(t-357)=0

?

Set Equations Equal: To find the sum of the solutions, we need to set each factor in the equation equal to zero and solve for $t$ . $(t+3) = 0$ and $(t-357) = 0$
Solve First Equation: Solve the first equation for $t$ . $t + 3 = 0$ $t = -3$
Solve Second Equation: Solve the second equation for $t$ . $t - 357 = 0$ $t = 357$
Find Sum of Solutions: Now, we add the two solutions together to find the sum. $\newline$ Sum = $(-3) + 357$ $\newline$ Sum = $354$

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