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Find the real solutionsof the equation -5x² -6x=0

User Yalematta
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Final answer:

The real solutions of the equation -5x² -6x=0 are found by factoring out a common factor, resulting in x equals 0 and x equals -1.2.

Step-by-step explanation:

The equation provided, -5x² -6x=0, can be solved by factoring or using the quadratic formula. However, since this is a relatively simple quadratic equation, we can solve it by factoring. We start by identifying the common factor in both terms, which is -x.

First, factor out -x from the equation: -x(5x + 6) = 0. Then, we set each factor equal to zero and solve for x. This gives us two solutions: x=0 and x=-6/5 or x=-1.2. These are the real solutions of the equation.

User Zxc
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