0.5x+x(x-0.5)=x(x-5)+10

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Solution for 0.5x+x(x-0.5)=x(x-5)+10 equation: 


Simplifying
0.5x + x(x + -0.5) = x(x + -5) + 10

Reorder the terms:
0.5x + x(-0.5 + x) = x(x + -5) + 10
0.5x + (-0.5 * x + x * x) = x(x + -5) + 10
0.5x + (-0.5x + x2) = x(x + -5) + 10

Combine like terms: 0.5x + -0.5x = 0.0
0.0 + x2 = x(x + -5) + 10
x2 = x(x + -5) + 10

Reorder the terms:
x2 = x(-5 + x) + 10
x2 = (-5 * x + x * x) + 10
x2 = (-5x + x2) + 10

Reorder the terms:
x2 = 10 + -5x + x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = 10 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 10 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 10 + -5x + 0
0 = 10 + -5x

Solving
0 = 10 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
0 + 5x = 10 + -5x + 5x
Remove the zero:
5x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
5x = 10 + 0
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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