0.18(x-8700)0.15(x+8700)=50000

Solution for 0.18(x-8700)0.15(x+8700)=50000 equation:

Simplifying
0.18(x + -8700) * 0.15(x + 8700) = 50000

Reorder the terms:
0.18(-8700 + x) * 0.15(x + 8700) = 50000

Reorder the terms:
0.18(-8700 + x) * 0.15(8700 + x) = 50000

Reorder the terms for easier multiplication:
0.18 * 0.15(-8700 + x)(8700 + x) = 50000

Multiply 0.18 * 0.15
0.027(-8700 + x)(8700 + x) = 50000

Multiply (-8700 + x) * (8700 + x)
0.027(-8700(8700 + x) + x(8700 + x)) = 50000
0.027((8700 * -8700 + x * -8700) + x(8700 + x)) = 50000
0.027((-75690000 + -8700x) + x(8700 + x)) = 50000
0.027(-75690000 + -8700x + (8700 * x + x * x)) = 50000
0.027(-75690000 + -8700x + (8700x + x2)) = 50000

Combine like terms: -8700x + 8700x = 0
0.027(-75690000 + 0 + x2) = 50000
0.027(-75690000 + x2) = 50000
(-75690000 * 0.027 + x2 * 0.027) = 50000
(-2043630 + 0.027x2) = 50000

Solving
-2043630 + 0.027x2 = 50000

Solving for variable 'x'.

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

Add '2043630' to each side of the equation.
-2043630 + 2043630 + 0.027x2 = 50000 + 2043630

Combine like terms: -2043630 + 2043630 = 0
0 + 0.027x2 = 50000 + 2043630
0.027x2 = 50000 + 2043630

Combine like terms: 50000 + 2043630 = 2093630
0.027x2 = 2093630

Divide each side by '0.027'.
x2 = 77541851.85

Simplifying
x2 = 77541851.85

Take the square root of each side:
x = {-8805.785135353, 8805.785135353}