Solve the equation .
Solve the quadratic equation by following steps:
step0: Solve by factoring:
step1: Factor the expression:
step2: Separate into possible cases:
step3: Solve the equation:
step4: Rewrite:
The solutions to the equation are and or .
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To solve the equation , we can factor out from the equation:
This gives us two potential solutions: and . Solving the second equation for gives:
Thus, the solutions are and .
The equation represents a quadratic in standard form, and if you ever find yourself needing to solve it, remember that factoring is often a quick route—especially with two terms! When setting each factor to zero, it’s like opening a neat little treasure chest of solutions! Enjoy the treasure hunt next time you see a quadratic!