# How do you solve #7(t^2+5t-9)+t=t(7t-2)+13#?

##### 1 Answer

May 27, 2017

#### Explanation:

#"the first step is to distribute the brackets on both sides"#

#rArr7t^2+35t-63+t=7t^2-2t+13#

#7t^2+36t-63=7t^2-2t+13larr" simplify left side"#

#"collect variables on left and numeric values on right"#

#cancel(7t^2)cancel(-7t^2)+36t+2t=13+63#

#rArr38t=76#

#"divide both sides by 38"#

#(cancel(38)color(white)(x)t)/cancel(38)=76/38#

#rArrt=2#

#color(blue)"As a check"# Substitute this value into the equation and if both sides equate then it is the solution.

#"left "=7(4+10-9)+2=(7xx5)+2=37#

#"right "=2(14-2)+13=(2xx12)+13=37#

#rArrt=2" is the solution"#