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Simplifying
23.78 = -0.5x2 + 8 + 24
Reorder the terms:
23.78 = 8 + 24 + -0.5x2
Combine like terms: 8 + 24 = 32
23.78 = 32 + -0.5x2
Solving
23.78 = 32 + -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.
23.78 + 0.5x2 = 32 + -0.5x2 + 0.5x2
Combine like terms: -0.5x2 + 0.5x2 = 0.0
23.78 + 0.5x2 = 32 + 0.0
23.78 + 0.5x2 = 32
Add '-23.78' to each side of the equation.
23.78 + -23.78 + 0.5x2 = 32 + -23.78
Combine like terms: 23.78 + -23.78 = 0.00
0.00 + 0.5x2 = 32 + -23.78
0.5x2 = 32 + -23.78
Combine like terms: 32 + -23.78 = 8.22
0.5x2 = 8.22
Divide each side by '0.5'.
x2 = 16.44
Simplifying
x2 = 16.44
Take the square root of each side:
x = {-4.054626987, 4.054626987}
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