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Simplifying
x2 + -6x + -49 = -6x
Reorder the terms:
-49 + -6x + x2 = -6x
Add '6x' to each side of the equation.
-49 + -6x + 6x + x2 = -6x + 6x
Combine like terms: -6x + 6x = 0
-49 + 0 + x2 = -6x + 6x
-49 + x2 = -6x + 6x
Combine like terms: -6x + 6x = 0
-49 + x2 = 0
Solving
-49 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + x2 = 0 + 49
x2 = 0 + 49
Combine like terms: 0 + 49 = 49
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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