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Simplifying
20 + 2x + -0.5x + -0.05x2 = 0.05x2 + 1.5x + 20
Combine like terms: 2x + -0.5x = 1.5x
20 + 1.5x + -0.05x2 = 0.05x2 + 1.5x + 20
Reorder the terms:
20 + 1.5x + -0.05x2 = 20 + 1.5x + 0.05x2
Add '-20' to each side of the equation.
20 + 1.5x + -20 + -0.05x2 = 20 + 1.5x + -20 + 0.05x2
Reorder the terms:
20 + -20 + 1.5x + -0.05x2 = 20 + 1.5x + -20 + 0.05x2
Combine like terms: 20 + -20 = 0
0 + 1.5x + -0.05x2 = 20 + 1.5x + -20 + 0.05x2
1.5x + -0.05x2 = 20 + 1.5x + -20 + 0.05x2
Reorder the terms:
1.5x + -0.05x2 = 20 + -20 + 1.5x + 0.05x2
Combine like terms: 20 + -20 = 0
1.5x + -0.05x2 = 0 + 1.5x + 0.05x2
1.5x + -0.05x2 = 1.5x + 0.05x2
Add '-1.5x' to each side of the equation.
1.5x + -1.5x + -0.05x2 = 1.5x + -1.5x + 0.05x2
Combine like terms: 1.5x + -1.5x = 0.0
0.0 + -0.05x2 = 1.5x + -1.5x + 0.05x2
-0.05x2 = 1.5x + -1.5x + 0.05x2
Combine like terms: 1.5x + -1.5x = 0.0
-0.05x2 = 0.0 + 0.05x2
-0.05x2 = 0.05x2
Solving
-0.05x2 = 0.05x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.05x2' to each side of the equation.
-0.05x2 + -0.05x2 = 0.05x2 + -0.05x2
Combine like terms: -0.05x2 + -0.05x2 = -0.1x2
-0.1x2 = 0.05x2 + -0.05x2
Combine like terms: 0.05x2 + -0.05x2 = 0.00
-0.1x2 = 0.00
Divide each side by '-0.1'.
x2 = 0.0
Simplifying
x2 = 0.0
Take the square root of each side:
x = {0.0}
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