1177=3.268x^2-45.733+277.91

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Solution for 1177=3.268x^2-45.733+277.91 equation: 


Simplifying
1177 = 3.268x2 + -45.733 + 277.91

Reorder the terms:
1177 = -45.733 + 277.91 + 3.268x2

Combine like terms: -45.733 + 277.91 = 232.177
1177 = 232.177 + 3.268x2

Solving
1177 = 232.177 + 3.268x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.268x2' to each side of the equation.
1177 + -3.268x2 = 232.177 + 3.268x2 + -3.268x2

Combine like terms: 3.268x2 + -3.268x2 = 0.000
1177 + -3.268x2 = 232.177 + 0.000
1177 + -3.268x2 = 232.177

Add '-1177' to each side of the equation.
1177 + -1177 + -3.268x2 = 232.177 + -1177

Combine like terms: 1177 + -1177 = 0
0 + -3.268x2 = 232.177 + -1177
-3.268x2 = 232.177 + -1177

Combine like terms: 232.177 + -1177 = -944.823
-3.268x2 = -944.823

Divide each side by '-3.268'.
x2 = 289.1135251

Simplifying
x2 = 289.1135251

Take the square root of each side:
x = {-17.003338646, 17.003338646}

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