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Simplifying
-0.1x2 + 56 = 0.5x2 + 3.8
Reorder the terms:
56 + -0.1x2 = 0.5x2 + 3.8
Reorder the terms:
56 + -0.1x2 = 3.8 + 0.5x2
Solving
56 + -0.1x2 = 3.8 + 0.5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.5x2' to each side of the equation.
56 + -0.1x2 + -0.5x2 = 3.8 + 0.5x2 + -0.5x2
Combine like terms: -0.1x2 + -0.5x2 = -0.6x2
56 + -0.6x2 = 3.8 + 0.5x2 + -0.5x2
Combine like terms: 0.5x2 + -0.5x2 = 0.0
56 + -0.6x2 = 3.8 + 0.0
56 + -0.6x2 = 3.8
Add '-56' to each side of the equation.
56 + -56 + -0.6x2 = 3.8 + -56
Combine like terms: 56 + -56 = 0
0 + -0.6x2 = 3.8 + -56
-0.6x2 = 3.8 + -56
Combine like terms: 3.8 + -56 = -52.2
-0.6x2 = -52.2
Divide each side by '-0.6'.
x2 = 87
Simplifying
x2 = 87
Take the square root of each side:
x = {-9.327379053, 9.327379053}
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