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Simplifying
4X + 5 = X2 + 4X + 4
Reorder the terms:
5 + 4X = X2 + 4X + 4
Reorder the terms:
5 + 4X = 4 + 4X + X2
Add '-4X' to each side of the equation.
5 + 4X + -4X = 4 + 4X + -4X + X2
Combine like terms: 4X + -4X = 0
5 + 0 = 4 + 4X + -4X + X2
5 = 4 + 4X + -4X + X2
Combine like terms: 4X + -4X = 0
5 = 4 + 0 + X2
5 = 4 + X2
Solving
5 = 4 + X2
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-1X2' to each side of the equation.
5 + -1X2 = 4 + X2 + -1X2
Combine like terms: X2 + -1X2 = 0
5 + -1X2 = 4 + 0
5 + -1X2 = 4
Add '-5' to each side of the equation.
5 + -5 + -1X2 = 4 + -5
Combine like terms: 5 + -5 = 0
0 + -1X2 = 4 + -5
-1X2 = 4 + -5
Combine like terms: 4 + -5 = -1
-1X2 = -1
Divide each side by '-1'.
X2 = 1
Simplifying
X2 = 1
Take the square root of each side:
X = {-1, 1}
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