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2\left(-1\right)-k\left(-1\right)^{2}+3\left(-1\right)+10=0
Calculate -1 to the power of 3 and get -1.
-2-k\left(-1\right)^{2}+3\left(-1\right)+10=0
Multiply 2 and -1 to get -2.
-2-k\times 1+3\left(-1\right)+10=0
Calculate -1 to the power of 2 and get 1.
-2-k\times 1-3+10=0
Multiply 3 and -1 to get -3.
-2-k\times 1+7=0
Add -3 and 10 to get 7.
-2-k\times 1=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
-2-k=-7
Reorder the terms.
-k=-7+2
Add 2 to both sides.
-k=-5
Add -7 and 2 to get -5.
k=5
Multiply both sides by -1.