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Simplifying
6x2 + -5 = 7
Reorder the terms:
-5 + 6x2 = 7
Solving
-5 + 6x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 6x2 = 7 + 5
Combine like terms: -5 + 5 = 0
0 + 6x2 = 7 + 5
6x2 = 7 + 5
Combine like terms: 7 + 5 = 12
6x2 = 12
Divide each side by '6'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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