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2x^2 + x - 3

1 Answer

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Answer:

x = 1 or x = -3/2

Explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

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