SOLUTION: Solve the equation: 2x^2 - 3x = 0

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Question 113860: Solve the equation: 2x^2 - 3x = 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E2-3x=0

x%282x-3%29=0 Factor out the GCF x


Now set each factor equal to zero:

x=0 or 2x-3=0

x=0 or x=3%2F2 Now solve for x in each case


So our solutions are x=0 or x=3%2F2


Notice if we graph y=2x%5E2-3x we get

+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C+2x%5E2-3x%29+

and we can see that the graph has roots at x=0 and x=3%2F2, so this verifies our answer.