(7.8x*0.9x)+(9.3x*0.1x)=13000

Solution for (7.8x*0.9x)+(9.3x*0.1x)=13000 equation:

Simplifying
(7.8x * 0.9x) + (9.3x * 0.1x) = 13000

Reorder the terms for easier multiplication:
(7.8 * 0.9x * x) + (9.3x * 0.1x) = 13000

Multiply 7.8 * 0.9
(7.02x * x) + (9.3x * 0.1x) = 13000

Multiply x * x
(7.02x2) + (9.3x * 0.1x) = 13000

Reorder the terms for easier multiplication:
(7.02x2) + (9.3 * 0.1x * x) = 13000

Multiply 9.3 * 0.1
(7.02x2) + (0.93x * x) = 13000

Multiply x * x
(7.02x2) + (0.93x2) = 13000

Combine like terms: (7.02x2) + (0.93x2) = 7.95x2
7.95x2 = 13000

Solving
7.95x2 = 13000

Solving for variable 'x'.

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

Divide each side by '7.95'.
x2 = 1635.220126

Simplifying
x2 = 1635.220126

Take the square root of each side:
x = {-40.437855111, 40.437855111}