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Simplifying
7x2 + -6 = 15
Reorder the terms:
-6 + 7x2 = 15
Solving
-6 + 7x2 = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 7x2 = 15 + 6
Combine like terms: -6 + 6 = 0
0 + 7x2 = 15 + 6
7x2 = 15 + 6
Combine like terms: 15 + 6 = 21
7x2 = 21
Divide each side by '7'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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