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-4x2 + 5x + 6 = 0

Multiply through by -1: 4x2 - 5x - 6 = 0 (I prefer the leading coefficient to be >0)

4x2 - 8x + 3x - 6 = 0

4x(x - 2) + 3(x - 2) = 0

(x - 2)(4x + 3) = 0

So x - 2 = 0 or 4x + 3 = 0

ie x = 2 or x = -3/4

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15y ago

What else can I help you with?