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Simplifying
0.4x2 + 0.7x2 + 0.1x2 = 0
Combine like terms: 0.4x2 + 0.7x2 = 1.1x2
1.1x2 + 0.1x2 = 0
Combine like terms: 1.1x2 + 0.1x2 = 1.2x2
1.2x2 = 0
Solving
1.2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '1.2'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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