factor x^2 + 10x - 80
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Answers
Simplifying
(X2) + -10X + -80 = 0
X2 + -10X + -80 = 0
Reorder the terms:
-80 + -10X + X2 = 0
Solving
-80 + -10X + X2 = 0
Solving for variable 'X'.
Begin completing the square.
Move the constant term to the right:
Add '80' to each side of the equation.
-80 + -10X + 80 + X2 = 0 + 80
Reorder the terms:
-80 + 80 + -10X + X2 = 0 + 80
Combine like terms: -80 + 80 = 0
0 + -10X + X2 = 0 + 80
-10X + X2 = 0 + 80
Combine like terms: 0 + 80 = 80
-10X + X2 = 80
The X term is -10X. Take half its coefficient (-5).
Square it (25) and add it to both sides.
Add '25' to each side of the equation.
-10X + 25 + X2 = 80 + 25
Reorder the terms:
25 + -10X + X2 = 80 + 25
Combine like terms: 80 + 25 = 105
25 + -10X + X2 = 105
Factor a perfect square on the left side:
(X + -5)(X + -5) = 105
Calculate the square root of the right side: 10.246950766
Break this problem into two subproblems by setting
(X + -5) equal to 10.246950766 and -10.246950766
Answer:
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