Algebra: A Combined Approach (4th Edition)

To check if x=1 is a solution of the equation $5x^{2}+2=x-8$, we will substitute x=1 into the equation to see if both sides of the equation are equal. If both sides of the equation become equal, then x=1 would be proven to be a solution of the equation. Substituting $x=1$ into the equation: $5(1)^{2}+2=1-8$ $5(1)+2=-7$ $5+2=-7$ $7=-7$ Since 7 and -7 are not equal, x=1 is not a solution of the equation.