6x^2-65=85

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Solution for 6x^2-65=85 equation:


Simplifying
6x2 + -65 = 85

Reorder the terms:
-65 + 6x2 = 85

Solving
-65 + 6x2 = 85

Solving for variable 'x'.

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

Add '65' to each side of the equation.
-65 + 65 + 6x2 = 85 + 65

Combine like terms: -65 + 65 = 0
0 + 6x2 = 85 + 65
6x2 = 85 + 65

Combine like terms: 85 + 65 = 150
6x2 = 150

Divide each side by '6'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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