x^2-(.24+x)(.20+x)=0

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Solution for x^2-(.24+x)(.20+x)=0 equation: 


Simplifying
x2 + -1(0.24 + x)(0.20 + x) = 0

Multiply (0.24 + x) * (0.20 + x)
x2 + -1(0.24(0.20 + x) + x(0.20 + x)) = 0
x2 + -1((0.20 * 0.24 + x * 0.24) + x(0.20 + x)) = 0
x2 + -1((0.048 + 0.24x) + x(0.20 + x)) = 0
x2 + -1(0.048 + 0.24x + (0.20 * x + x * x)) = 0
x2 + -1(0.048 + 0.24x + (0.20x + x2)) = 0

Combine like terms: 0.24x + 0.20x = 0.44x
x2 + -1(0.048 + 0.44x + x2) = 0
x2 + (0.048 * -1 + 0.44x * -1 + x2 * -1) = 0
x2 + (-0.048 + -0.44x + -1x2) = 0

Reorder the terms:
-0.048 + -0.44x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-0.048 + -0.44x + 0 = 0
-0.048 + -0.44x = 0

Solving
-0.048 + -0.44x = 0

Solving for variable 'x'.

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

Add '0.048' to each side of the equation.
-0.048 + 0.048 + -0.44x = 0 + 0.048

Combine like terms: -0.048 + 0.048 = 0.000
0.000 + -0.44x = 0 + 0.048
-0.44x = 0 + 0.048

Combine like terms: 0 + 0.048 = 0.048
-0.44x = 0.048

Divide each side by '-0.44'.
x = -0.1090909091

Simplifying
x = -0.1090909091

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