Answer:
x=2 or x=8
Explanation:
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
x2+16=10x
Step 1: Subtract 10x from both sides.
x2+16−10x=10x−10x
x2−10x+16=0
Step 2: Factor left side of equation.
(x−2)(x−8)=0
Step 3: Set factors equal to 0.
x−2=0 or x−8=0
x=2 or x=8