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Simplifying
19.85 = -0.5x2 + 1.5 + 20
Reorder the terms:
19.85 = 1.5 + 20 + -0.5x2
Combine like terms: 1.5 + 20 = 21.5
19.85 = 21.5 + -0.5x2
Solving
19.85 = 21.5 + -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.
19.85 + 0.5x2 = 21.5 + -0.5x2 + 0.5x2
Combine like terms: -0.5x2 + 0.5x2 = 0.0
19.85 + 0.5x2 = 21.5 + 0.0
19.85 + 0.5x2 = 21.5
Add '-19.85' to each side of the equation.
19.85 + -19.85 + 0.5x2 = 21.5 + -19.85
Combine like terms: 19.85 + -19.85 = 0.00
0.00 + 0.5x2 = 21.5 + -19.85
0.5x2 = 21.5 + -19.85
Combine like terms: 21.5 + -19.85 = 1.65
0.5x2 = 1.65
Divide each side by '0.5'.
x2 = 3.3
Simplifying
x2 = 3.3
Take the square root of each side:
x = {-1.816590212, 1.816590212}
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