Solve for x 8x^2+14x=0

Problem

8*x2+14*x=0

Solution

1. Identify the greatest common factor of the terms 8*x2 and 14*x

2. Factor out the greatest common factor, which is 2*x

2*x*(4*x+7)=0

3. Apply the zero product property by setting each factor equal to zero.

2*x=0

4*x+7=0

4. Solve the first linear equation for x

x=0

5. Solve the second linear equation for x by subtracting 7 and dividing by 4

4*x=−7

x=−7/4

Final Answer

x=0,−7/4

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