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Simplifying
4x2 + 6 = 406
Reorder the terms:
6 + 4x2 = 406
Solving
6 + 4x2 = 406
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 4x2 = 406 + -6
Combine like terms: 6 + -6 = 0
0 + 4x2 = 406 + -6
4x2 = 406 + -6
Combine like terms: 406 + -6 = 400
4x2 = 400
Divide each side by '4'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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