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Simplifying
10x2 + -6 = 84
Reorder the terms:
-6 + 10x2 = 84
Solving
-6 + 10x2 = 84
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 + 10x2 = 84 + 6
Combine like terms: -6 + 6 = 0
0 + 10x2 = 84 + 6
10x2 = 84 + 6
Combine like terms: 84 + 6 = 90
10x2 = 90
Divide each side by '10'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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