6=35x-50x^2

Solution for 6=35x-50x^2 equation:

Simplifying
6 = 35x + -50x2

Solving
6 = 35x + -50x2

Solving for variable 'x'.

Reorder the terms:
6 + -35x + 50x2 = 35x + -35x + -50x2 + 50x2

Combine like terms: 35x + -35x = 0
6 + -35x + 50x2 = 0 + -50x2 + 50x2
6 + -35x + 50x2 = -50x2 + 50x2

Combine like terms: -50x2 + 50x2 = 0
6 + -35x + 50x2 = 0

Factor a trinomial.
(3 + -10x)(2 + -5x) = 0

Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0.3, 0.4}