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Simplifying
-1x2 + 5 = 0.5x2 + 3
Reorder the terms:
5 + -1x2 = 0.5x2 + 3
Reorder the terms:
5 + -1x2 = 3 + 0.5x2
Solving
5 + -1x2 = 3 + 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.
5 + -1x2 + -0.5x2 = 3 + 0.5x2 + -0.5x2
Combine like terms: -1x2 + -0.5x2 = -1.5x2
5 + -1.5x2 = 3 + 0.5x2 + -0.5x2
Combine like terms: 0.5x2 + -0.5x2 = 0.0
5 + -1.5x2 = 3 + 0.0
5 + -1.5x2 = 3
Add '-5' to each side of the equation.
5 + -5 + -1.5x2 = 3 + -5
Combine like terms: 5 + -5 = 0
0 + -1.5x2 = 3 + -5
-1.5x2 = 3 + -5
Combine like terms: 3 + -5 = -2
-1.5x2 = -2
Divide each side by '-1.5'.
x2 = 1.333333333
Simplifying
x2 = 1.333333333
Take the square root of each side:
x = {-1.154700538, 1.154700538}
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