# New Tab ## Knowledge Check ## Solve for $\boldsymbol{x}$
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Answer

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Step 1
: Identify the given information and the equation to solve.

Our goal is to solve for $x$.
We are given the equation:

Step 2
: Expand the left side of the equation using the distributive property (also known as the FOIL method).

$$3x^2 + 10x - 8 = 2x^2 + 15x - 8$$
(3x - 2)(x + 4) &= 3x^2 + 12x - 2x - 8 \ &= 3x^2 + 10x - 8 \end{align*} So, the original equation becomes:

Final Answer

The solutions to the equation are $x = 1$ and $ x = 1$.