Solve for $x$.
\[
5 x^{2}-3=14 x
\]
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

Answer

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Answer

So, the final answer is $\boxed{3.0, -0.2}$.

Steps

Step 1 ：Rearrange the equation to the form of $ax^2 + bx + c = 0$, which gives us $5x^2 - 14x - 3 = 0$.

Step 2 ：Identify the coefficients as $a = 5$, $b = -14$, and $c = -3$.

Step 3 ：Calculate the discriminant $D$ using the formula $D = b^2 - 4ac$, which gives us $D = 256$.

Step 4 ：Use the quadratic formula $x = \frac{-b \pm \sqrt{D}}{2a}$ to solve for $x$.

Step 5 ：The solutions to the equation are $x = 3.0$ and $x = -0.2$.

Step 6 ：So, the final answer is $\boxed{3.0, -0.2}$.