Answer
Two rational solutions
Work Step by Step
10x(x+4)=15x-15
10x$^2$+40x-15x+15=0
2x$^2$+5x+3=0
D=5$^2$-4(2)(3)
D=25-24
D=1
Since the discriminant is a positive perfect square, there must be two rational solutions.
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