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Simplifying
4x2 + -16 = 52
Reorder the terms:
-16 + 4x2 = 52
Solving
-16 + 4x2 = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 4x2 = 52 + 16
Combine like terms: -16 + 16 = 0
0 + 4x2 = 52 + 16
4x2 = 52 + 16
Combine like terms: 52 + 16 = 68
4x2 = 68
Divide each side by '4'.
x2 = 17
Simplifying
x2 = 17
Take the square root of each side:
x = {-4.123105626, 4.123105626}
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