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Simplifying
2x * x + 3 = 186
Multiply x * x
2x2 + 3 = 186
Reorder the terms:
3 + 2x2 = 186
Solving
3 + 2x2 = 186
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2x2 = 186 + -3
Combine like terms: 3 + -3 = 0
0 + 2x2 = 186 + -3
2x2 = 186 + -3
Combine like terms: 186 + -3 = 183
2x2 = 183
Divide each side by '2'.
x2 = 91.5
Simplifying
x2 = 91.5
Take the square root of each side:
x = {-9.565563235, 9.565563235}
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