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The solutions are
and
.
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To solve the equation
, you can rearrange it into standard quadratic form by moving all terms to one side. This gives you
. This equation can be factored as
, leading to the solutions
and
.
These solutions can be quickly verified by substituting them back into the original equation, ensuring both satisfy
. Quadratic equations frequently pop up in various contexts, such as physics when calculating projectile motion or in optimization problems in economics!