French Black
03/14/2023 · Middle School
\( 2\times ^{2}+4\times =6 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
It looks like there might be a formatting issue in your equation. It seems you want to solve for a variable, but the equation is not clear.
If you meant to write \( 2x^2 + 4x = 6 \), we can solve it as follows:
1. Rearrange the equation to set it to zero:
\[
2x^2 + 4x - 6 = 0
\]
2. Divide the entire equation by 2 to simplify:
\[
x^2 + 2x - 3 = 0
\]
3. Now, we can factor the quadratic:
\[
(x + 3)(x - 1) = 0
\]
4. Set each factor to zero:
\[
x + 3 = 0 \quad \Rightarrow \quad x = -3
\]
\[
x - 1 = 0 \quad \Rightarrow \quad x = 1
\]
So the solutions to the equation \( 2x^2 + 4x = 6 \) are \( x = -3 \) and \( x = 1 \).
If this is not what you intended, please clarify the equation, and I'll be happy to help!
Quick Answer
The solutions are \( x = -3 \) and \( x = 1 \).
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