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Find all values of \(x\) such that \(2x^2 +9x - 5=0\). If you find more than one value, then list your solutions in increasing order, separated by commas.

Logic  Sep 14, 2018
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Solve for x:
2 x^2 + 9 x - 5 = 0

The left hand side factors into a product with two terms:
(x + 5) (2 x - 1) = 0

Split into two equations:
x + 5 = 0 or 2 x - 1 = 0

Subtract 5 from both sides:
x = -5 or 2 x - 1 = 0

Add 1 to both sides:
x = -5 or 2 x = 1

Divide both sides by 2:
 x = -5    or      x = 1/2

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