Solve
5x^2 − 34x = 0
by factoring.
What is the smaller answer?
You can factor an x out of both term
x(5x - 34) = 0
x = 0
5x - 34 = 0
x = 34/5
x= 6.8
x = 0 , 6.8
Smallest answer= 0
Thank you so much DonHo!
To solve the equation 5x^2 - 34x = 0 by factoring, we need to find the values of x for which the expression equals zero. Let's begin:
Step 1: First, we factor out the common term 'x' from both terms:
x(5x - 34) = 0
Step 2: Now, we can set each factor equal to zero, since the product of two factors is zero only if at least one of them is zero:
x = 0 or 5x - 34 = 0
Step 3: Solve each equation separately:
For the first equation x = 0, the value of x is 0.
For the second equation 5x - 34 = 0, we isolate x by adding 34 to both sides of the equation:
5x = 34
Divide both sides of the equation by 5 to solve for x:
x = 34/5
So, the two solutions to the equation 5x^2 - 34x = 0 are x = 0 and x = 34/5. However, you specifically asked for the smaller answer. Comparing the two solutions, we can determine that 0 is smaller than 34/5. Therefore, the smaller answer is x = 0.