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Simplifying
4x2 + 1 = 197
Reorder the terms:
1 + 4x2 = 197
Solving
1 + 4x2 = 197
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 4x2 = 197 + -1
Combine like terms: 1 + -1 = 0
0 + 4x2 = 197 + -1
4x2 = 197 + -1
Combine like terms: 197 + -1 = 196
4x2 = 196
Divide each side by '4'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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