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Damarion Lucas
Mathematics
10 September, 05:07
What are the solutions of - x^2+4x=x-4
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Cristofer Eaton
10 September, 05:21
0
x = - 1 and x = 4
Step-by-step explanation:
Step 1: Get everything to one side of the equation so it's set equal to zero ...
-x² + 4x = x - 4 becomes ...
-x² + 3x + 4 = 0 (subtract x and add 4 to both sides)
x² - 3x - 4 = 0 (divide both sides by - 1, we want the x² term to be positive)
(x - 4) (x + 1) = 0 (factor)
so
x - 4 = 0, then x = 4
and
x + 1 = 0, then x = - 1
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