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Simplifying
4x2 + -38 = 1833
Reorder the terms:
-38 + 4x2 = 1833
Solving
-38 + 4x2 = 1833
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '38' to each side of the equation.
-38 + 38 + 4x2 = 1833 + 38
Combine like terms: -38 + 38 = 0
0 + 4x2 = 1833 + 38
4x2 = 1833 + 38
Combine like terms: 1833 + 38 = 1871
4x2 = 1871
Divide each side by '4'.
x2 = 467.75
Simplifying
x2 = 467.75
Take the square root of each side:
x = {-21.627528754, 21.627528754}
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