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Simplifying
4x2 + -17 = 83
Reorder the terms:
-17 + 4x2 = 83
Solving
-17 + 4x2 = 83
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '17' to each side of the equation.
-17 + 17 + 4x2 = 83 + 17
Combine like terms: -17 + 17 = 0
0 + 4x2 = 83 + 17
4x2 = 83 + 17
Combine like terms: 83 + 17 = 100
4x2 = 100
Divide each side by '4'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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