Solve for the variable b. 5a(b - c ) = d

1 answer:

6 0

We have to isolate b using inverse operations.

5a(b - c) = d
Simplify using Distributive Property.
5ab - 5ac = d
Add 5ac to both sides.
5ab = d + 5ac
Divide both sides by 5a.
b = 5ac + d / 5a

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$if~x < 0\\8x^2-5 < 120x\\8x^2-120x < 5\\x^2-15x < \frac{5}{8} \\adding~(-\frac{15}{2} )^2\\(x-\frac{15}{2} )^2 < \frac{5}{8} +(-\frac{15}{2} )^2\\|x-\frac{15}{2} | < \frac{5+450}{8} \\-\sqrt{\frac{455}{8} } < x-\frac{15}{2} < \sqrt{\frac{455}{8} } \\\frac{15}{2} -\sqrt{\frac{455}{8} } < x < \frac{15}{2} +\sqrt{\frac{455}{8} } \\but~x < 0\\7.5-\sqrt{\frac{455}{8} } < x < 0$