Question
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Tutor-Verified Answer
Answer
The solutions are
,
, and
.
Solution
Solve the equation
.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Subtract the terms:
- step2: Move the constant to the right side:
- step3: Subtract the numbers:
- step4: Divide both sides:
- step5: Divide the numbers:
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 system of equations are and or .
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To solve the first equation
, let’s simplify it step-by-step.
First, distribute the negative sign:
Next, combine like terms:
Now, subtract 3 from both sides:
Finally, divide by 4:
Now onto the second equation
. We can factor this quadratic equation:
Setting each factor to zero gives us:
So, the solutions to the equations are
for the first equation, and
or
for the second equation.