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Answer:
x = 4 & 2
Step-by-step explanation:
-2x²+12x-16 = 0
-2(x²-6x+8) = 0 // Factor what's in the parentheses
-2(x-4)(x-2) = 0
-2(x-4) = (-2x+8)
(-2x+8) = 0 // Subtract 8 on both sides
-2x = -8 // Divide both sides by -2
x = 4
x-2 = 0 // Add 2 on both sides
x = 2