Solve for x
[tex]\begin{gathered} 6x^2-11x=10 \\ 6x^2-11x-10=0 \end{gathered}[/tex]
Let's solve the equation step-by-step.
[tex]6x^2-11x-10=0[/tex]
For this equation: a=6, b=-11, c= -10
Step 1: Use quadratic formula with a=6, b=-11, c=-10.
[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \\ \\ x=\frac{-(-11)\pm\sqrt[]{(-11)^2^{}-4\times6\times-10}}{2\times6} \\ \\ x=\frac{11\pm\sqrt[]{361}}{12} \\ \\ x=\frac{5}{2\text{ }}\text{ or x=}-\frac{2}{3} \end{gathered}[/tex]
Answer
[tex]x=\frac{5}{2\text{ }}\text{ or x=}-\frac{2}{3}[/tex]
