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Simplifying
4 = -0.5x2 + 46
Reorder the terms:
4 = 46 + -0.5x2
Solving
4 = 46 + -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.
4 + 0.5x2 = 46 + -0.5x2 + 0.5x2
Combine like terms: -0.5x2 + 0.5x2 = 0.0
4 + 0.5x2 = 46 + 0.0
4 + 0.5x2 = 46
Add '-4' to each side of the equation.
4 + -4 + 0.5x2 = 46 + -4
Combine like terms: 4 + -4 = 0
0 + 0.5x2 = 46 + -4
0.5x2 = 46 + -4
Combine like terms: 46 + -4 = 42
0.5x2 = 42
Divide each side by '0.5'.
x2 = 84
Simplifying
x2 = 84
Take the square root of each side:
x = {-9.16515139, 9.16515139}
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