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Simplifying
10x2 + -16 + 6 = 0
Reorder the terms:
-16 + 6 + 10x2 = 0
Combine like terms: -16 + 6 = -10
-10 + 10x2 = 0
Solving
-10 + 10x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 10x2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 10x2 = 0 + 10
10x2 = 0 + 10
Combine like terms: 0 + 10 = 10
10x2 = 10
Divide each side by '10'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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