Evaluate: 2x+9=7x-26

Expression: ${t}^{2}+t \times 4-32=0$

Use the commutative property to reorder the terms

${t}^{2}+4t-32=0$

Write $4t$ as a difference

${t}^{2}+8t-4t-32=0$

Factor out $t$ from the expression

$t \times \left( t+8 \right)-4t-32=0$

Factor out $-4$ from the expression

$t \times \left( t+8 \right)-4\left( t+8 \right)=0$

Factor out $t+8$ from the expression

$\left( t+8 \right) \times \left( t-4 \right)=0$

When the product of factors equals $0$, at least one factor is $0$

$\begin{array} { l }t+8=0,\\t-4=0\end{array}$

Solve the equation for $t$

$\begin{array} { l }t=-8,\\t-4=0\end{array}$

Solve the equation for $t$

$\begin{array} { l }t=-8,\\t=4\end{array}$

The equation has $2$ solutions

$\begin{array} { l }t_1=-8,& t_2=4\end{array}$