0.20x-0.08x(x-10)=24.80

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Solution for 0.20x-0.08x(x-10)=24.80 equation:


Simplifying
0.20x + -0.08x(x + -10) = 24.80

Reorder the terms:
0.20x + -0.08x(-10 + x) = 24.80
0.20x + (-10 * -0.08x + x * -0.08x) = 24.80
0.20x + (0.8x + -0.08x2) = 24.80

Combine like terms: 0.20x + 0.8x = 1x
1x + -0.08x2 = 24.80

Solving
1x + -0.08x2 = 24.80

Solving for variable 'x'.

Reorder the terms:
-24.80 + 1x + -0.08x2 = 24.80 + -24.80

Combine like terms: 24.80 + -24.80 = 0.00
-24.80 + 1x + -0.08x2 = 0.00

Begin completing the square.  Divide all terms by
-0.08 the coefficient of the squared term: 

Divide each side by '-0.08'.
310 + -12.5x + x2 = 0

Move the constant term to the right:

Add '-310' to each side of the equation.
310 + -12.5x + -310 + x2 = 0 + -310

Reorder the terms:
310 + -310 + -12.5x + x2 = 0 + -310

Combine like terms: 310 + -310 = 0
0 + -12.5x + x2 = 0 + -310
-12.5x + x2 = 0 + -310

Combine like terms: 0 + -310 = -310
-12.5x + x2 = -310

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = -310 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = -310 + 39.0625

Combine like terms: -310 + 39.0625 = -270.9375
39.0625 + -12.5x + x2 = -270.9375

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = -270.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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