1014=x*1.1x

Solution for 1014=x*1.1x equation:

Simplifying
1014 = x * 1.1x

Reorder the terms for easier multiplication:
1014 = 1.1x * x

Multiply x * x
1014 = 1.1x2

Solving
1014 = 1.1x2

Solving for variable 'x'.

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

Add '-1.1x2' to each side of the equation.
1014 + -1.1x2 = 1.1x2 + -1.1x2

Combine like terms: 1.1x2 + -1.1x2 = 0.0
1014 + -1.1x2 = 0.0

Add '-1014' to each side of the equation.
1014 + -1014 + -1.1x2 = 0.0 + -1014

Combine like terms: 1014 + -1014 = 0
0 + -1.1x2 = 0.0 + -1014
-1.1x2 = 0.0 + -1014

Combine like terms: 0.0 + -1014 = -1014
-1.1x2 = -1014

Divide each side by '-1.1'.
x2 = 921.8181818

Simplifying
x2 = 921.8181818

Take the square root of each side:
x = {-30.361458822, 30.361458822}