### Home > INT3 > Chapter 4 > Lesson 4.3.1 > Problem4-68

4-68.

Solve the following equations.

1. $3x^2+4=-x$

Start by subtracting $x$ from each side to get $3x^2+x+4=0$

Recall the Quadratic Formula.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute the values for $a, b$, and $c$ into the Quadratic Formula.

$x = \frac{-1 \pm i\sqrt{47}}{6}$

1. $(y-6)^2+10=3y$

Expand the $(y−6)^2$.

Rearrange the equation so that it equals zero.

Solve by factoring and using the Zero Product Property, or use the Quadratic Formula.