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The solutions are
and
.
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To factor the quadratic equation
, you can use the quadratic formula
. Here,
,
, and
. Plugging these into the formula will give you the x-values where the equation equals zero, because factoring can be a bit tricky with non-monic quadratics.
Now, when you solve this quadratic equation, you’ll find the values of
that satisfy the equation, which can represent various real-life situations such as profit maximization in business models or projectile motion in physics. Understanding these roots helps you see how changes in parameters can impact outcomes!