5x(1-2x)-3+11x=3

Solution for 5x(1-2x)-3+11x=3 equation:

Simplifying
5x(1 + -2x) + -3 + 11x = 3
(1 * 5x + -2x * 5x) + -3 + 11x = 3
(5x + -10x2) + -3 + 11x = 3

Reorder the terms:
-3 + 5x + 11x + -10x2 = 3

Combine like terms: 5x + 11x = 16x
-3 + 16x + -10x2 = 3

Solving
-3 + 16x + -10x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + -3 + 16x + -10x2 = 3 + -3

Combine like terms: -3 + -3 = -6
-6 + 16x + -10x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-6 + 16x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 8x + -5x2) = 0

Factor a trinomial.
2((-1 + x)(3 + -5x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {1, 0.6}