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Simplifying
(8x2 + 1) + (3x2 + -2) = 0
Reorder the terms:
(1 + 8x2) + (3x2 + -2) = 0
Remove parenthesis around (1 + 8x2)
1 + 8x2 + (3x2 + -2) = 0
Reorder the terms:
1 + 8x2 + (-2 + 3x2) = 0
Remove parenthesis around (-2 + 3x2)
1 + 8x2 + -2 + 3x2 = 0
Reorder the terms:
1 + -2 + 8x2 + 3x2 = 0
Combine like terms: 1 + -2 = -1
-1 + 8x2 + 3x2 = 0
Combine like terms: 8x2 + 3x2 = 11x2
-1 + 11x2 = 0
Solving
-1 + 11x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 11x2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 11x2 = 0 + 1
11x2 = 0 + 1
Combine like terms: 0 + 1 = 1
11x2 = 1
Divide each side by '11'.
x2 = 0.09090909091
Simplifying
x2 = 0.09090909091
Take the square root of each side:
x = {-0.301511345, 0.301511345}
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