SOLUTION: please solve: 52-x^2+x=10

Question 634769: please solve:
52-x^2+x=10
Answer by patrickca(4) (Show Source): You can put this solution on YOUR website!
You can solve this by factoring.
Step 1: Rearrange to set equation equal to 0. (Subtract 10 from both sides)
52 - x^2 + x = 10
42 - x^2 + x = 0
Step 2: Rearrange the terms and factor out negative lead coefficient.
42 - x^2 + x = 0
-x^2 + x + 42 = 0
-(x^2 - x - 42) = 0
Step 3: Factor the expression in the parentheses.
-(x - 7)(x + 6)= 0
Step 4: Use factored expression to solve.
x - 7 = 0 or x + 6 = 0
x = 7 x = -6
Step 5: Substitute in the equation to check your answer
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