5x+8+20x*(2-20*0.5x)=214

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Solution for 5x+8+20x*(2-20*0.5x)=214 equation:


Simplifying
5x + 8 + 20x(2 + -20 * 0.5x) = 214

Multiply -20 * 0.5
5x + 8 + 20x(2 + -10x) = 214
5x + 8 + (2 * 20x + -10x * 20x) = 214
5x + 8 + (40x + -200x2) = 214

Reorder the terms:
8 + 5x + 40x + -200x2 = 214

Combine like terms: 5x + 40x = 45x
8 + 45x + -200x2 = 214

Solving
8 + 45x + -200x2 = 214

Solving for variable 'x'.

Reorder the terms:
8 + -214 + 45x + -200x2 = 214 + -214

Combine like terms: 8 + -214 = -206
-206 + 45x + -200x2 = 214 + -214

Combine like terms: 214 + -214 = 0
-206 + 45x + -200x2 = 0

Begin completing the square.  Divide all terms by
-200 the coefficient of the squared term: 

Divide each side by '-200'.
1.03 + -0.225x + x2 = 0.00

Move the constant term to the right:

Add '-1.03' to each side of the equation.
1.03 + -0.225x + -1.03 + x2 = 0.00 + -1.03

Reorder the terms:
1.03 + -1.03 + -0.225x + x2 = 0.00 + -1.03

Combine like terms: 1.03 + -1.03 = 0.00
0.00 + -0.225x + x2 = 0.00 + -1.03
-0.225x + x2 = 0.00 + -1.03

Combine like terms: 0.00 + -1.03 = -1.03
-0.225x + x2 = -1.03

The x term is -0.225x.  Take half its coefficient (-0.1125).
Square it (0.01265625) and add it to both sides.

Add '0.01265625' to each side of the equation.
-0.225x + 0.01265625 + x2 = -1.03 + 0.01265625

Reorder the terms:
0.01265625 + -0.225x + x2 = -1.03 + 0.01265625

Combine like terms: -1.03 + 0.01265625 = -1.01734375
0.01265625 + -0.225x + x2 = -1.01734375

Factor a perfect square on the left side:
(x + -0.1125)(x + -0.1125) = -1.01734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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