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Simplifying
3 + 0.5x2 = 16 + -8x2
Solving
3 + 0.5x2 = 16 + -8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8x2' to each side of the equation.
3 + 0.5x2 + 8x2 = 16 + -8x2 + 8x2
Combine like terms: 0.5x2 + 8x2 = 8.5x2
3 + 8.5x2 = 16 + -8x2 + 8x2
Combine like terms: -8x2 + 8x2 = 0
3 + 8.5x2 = 16 + 0
3 + 8.5x2 = 16
Add '-3' to each side of the equation.
3 + -3 + 8.5x2 = 16 + -3
Combine like terms: 3 + -3 = 0
0 + 8.5x2 = 16 + -3
8.5x2 = 16 + -3
Combine like terms: 16 + -3 = 13
8.5x2 = 13
Divide each side by '8.5'.
x2 = 1.529411765
Simplifying
x2 = 1.529411765
Take the square root of each side:
x = {-1.236693885, 1.236693885}
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