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Simplifying
10x2 + -41 = -5 + 6x2
Reorder the terms:
-41 + 10x2 = -5 + 6x2
Solving
-41 + 10x2 = -5 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-41 + 10x2 + -6x2 = -5 + 6x2 + -6x2
Combine like terms: 10x2 + -6x2 = 4x2
-41 + 4x2 = -5 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-41 + 4x2 = -5 + 0
-41 + 4x2 = -5
Add '41' to each side of the equation.
-41 + 41 + 4x2 = -5 + 41
Combine like terms: -41 + 41 = 0
0 + 4x2 = -5 + 41
4x2 = -5 + 41
Combine like terms: -5 + 41 = 36
4x2 = 36
Divide each side by '4'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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