6x^2+16=5782

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Solution for 6x^2+16=5782 equation:


Simplifying
6x2 + 16 = 5782

Reorder the terms:
16 + 6x2 = 5782

Solving
16 + 6x2 = 5782

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 + 6x2 = 5782 + -16

Combine like terms: 16 + -16 = 0
0 + 6x2 = 5782 + -16
6x2 = 5782 + -16

Combine like terms: 5782 + -16 = 5766
6x2 = 5766

Divide each side by '6'.
x2 = 961

Simplifying
x2 = 961

Take the square root of each side:
x = {-31, 31}

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