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3x2 + 51 = 6x

Rewrite the equation so that it equates to zero

3x2 - 6x + 51 = 0

Simplify by dividing by 3

x2 - 2x + 17 = 0

Then use the quadratic formula

x = {2 ± √[(-2)2 -(4x1x17)]} ÷ 2 = { 2 ± √-64} ÷ 2 = 1 ± 4i

Then x = 1 + 4i and x = 1- 4i

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14y ago

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