# Find x, if g(x) = 0 where g(x) = 6x2 + x − 2 - Mathematics and Statistics

Sum

Find x, if "g"(x) = 0 where "g"(x) = 6x2 + x − 2

#### Solution

"g"(x) = 6x2 + x − 2

"g"(x) = 0

∴ 6x2 + x – 2 = 0

∴ 6x2 + 4x − 3x − 2 = 0

∴ 2x(3x + 2) − 1(3x + 2) = 0

∴ (2x – 1) (3x + 2) = 0

∴ 2x – 1 = 0 or 3x + 2 = 0

∴ x = 1/2 or x = – 2/3

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