(-3)(3+2x)+4x^2+1(1-x)=-11

Solution for (-3)(3+2x)+4x^2+1(1-x)=-11 equation:

Simplifying
(-3)(3 + 2x) + 4x2 + 1(1 + -1x) = -11
(3 * -3 + 2x * -3) + 4x2 + 1(1 + -1x) = -11
(-9 + -6x) + 4x2 + 1(1 + -1x) = -11
-9 + -6x + 4x2 + (1 * 1 + -1x * 1) = -11
-9 + -6x + 4x2 + (1 + -1x) = -11

Reorder the terms:
-9 + 1 + -6x + -1x + 4x2 = -11

Combine like terms: -9 + 1 = -8
-8 + -6x + -1x + 4x2 = -11

Combine like terms: -6x + -1x = -7x
-8 + -7x + 4x2 = -11

Solving
-8 + -7x + 4x2 = -11

Solving for variable 'x'.

Reorder the terms:
-8 + 11 + -7x + 4x2 = -11 + 11

Combine like terms: -8 + 11 = 3
3 + -7x + 4x2 = -11 + 11

Combine like terms: -11 + 11 = 0
3 + -7x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(1 + -1x) = 0

Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.75, 1}