Step-by-step explanation:
The correct steps are:
2x²-2x-24=0
2(x²-x-12)=0
2(x-4)(x+3)=0
x=4 or x=-3
so what actually went wrong, is the final answer which is supposed to be x=4,-3 instead of x=-4,3
Answer:
x = 4, x = -3
⇒ 2x² - 2x -24 = 0
⇒ 2(x² - x - 12) = 0
⇒ x² - x - 12 = 0
⇒ x² - 4x + 3x - 12 = 0
⇒ x(x - 4) + 3(x - 4) = 0
⇒ (x - 4)(x + 3) = 0
⇒ x = 4, x = -3
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