Find the values of c and d that make the equation true. c + 3ci = 4 + di

Find a least squares solution of Ax=b by constructing and solving the normal equations.
${\displaystyle A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]}$
${\displaystyle \bar{x}=}$?

Solve the equation.
${\displaystyle \log (x+2)-\log x=2\log 4}$

Solve the equation.
${\displaystyle \frac{2}{2x+1}-\frac{3}{2x-1}=\frac{-2x+7}{4x^2-1}}$

Solve each system of equations using substitution. State whether the system is inconsistent or consistent with dependent equation.
$\{\begin{array}{l}y=4x-1\\ 8x-2y=2\end{array}$

First use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation.
${\displaystyle 9x^2-6x+1=0}$

Use a triple integral to find the volume of the solid bounded by the graphs of the equations. ${\displaystyle z=2-y,z=4-y^2,x=0,x=3,y=0}$

How do you solve ${\displaystyle |-10x-5|=0}$