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Simplifying
41x + -2 = x2 + 41x + -38
Reorder the terms:
-2 + 41x = x2 + 41x + -38
Reorder the terms:
-2 + 41x = -38 + 41x + x2
Add '-41x' to each side of the equation.
-2 + 41x + -41x = -38 + 41x + -41x + x2
Combine like terms: 41x + -41x = 0
-2 + 0 = -38 + 41x + -41x + x2
-2 = -38 + 41x + -41x + x2
Combine like terms: 41x + -41x = 0
-2 = -38 + 0 + x2
-2 = -38 + x2
Solving
-2 = -38 + 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.
-2 + -1x2 = -38 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-2 + -1x2 = -38 + 0
-2 + -1x2 = -38
Add '2' to each side of the equation.
-2 + 2 + -1x2 = -38 + 2
Combine like terms: -2 + 2 = 0
0 + -1x2 = -38 + 2
-1x2 = -38 + 2
Combine like terms: -38 + 2 = -36
-1x2 = -36
Divide each side by '-1'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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