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Simplifying
6x2 + -59 + -10 = 0
Reorder the terms:
-59 + -10 + 6x2 = 0
Combine like terms: -59 + -10 = -69
-69 + 6x2 = 0
Solving
-69 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '69' to each side of the equation.
-69 + 69 + 6x2 = 0 + 69
Combine like terms: -69 + 69 = 0
0 + 6x2 = 0 + 69
6x2 = 0 + 69
Combine like terms: 0 + 69 = 69
6x2 = 69
Divide each side by '6'.
x2 = 11.5
Simplifying
x2 = 11.5
Take the square root of each side:
x = {-3.391164992, 3.391164992}
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