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

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


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

Reorder the terms:
(-1 + 4x)(3x + 2) = -1(11x + -1)

Reorder the terms:
(-1 + 4x)(2 + 3x) = -1(11x + -1)

Multiply (-1 + 4x) * (2 + 3x)
(-1(2 + 3x) + 4x * (2 + 3x)) = -1(11x + -1)
((2 * -1 + 3x * -1) + 4x * (2 + 3x)) = -1(11x + -1)
((-2 + -3x) + 4x * (2 + 3x)) = -1(11x + -1)
(-2 + -3x + (2 * 4x + 3x * 4x)) = -1(11x + -1)
(-2 + -3x + (8x + 12x2)) = -1(11x + -1)

Combine like terms: -3x + 8x = 5x
(-2 + 5x + 12x2) = -1(11x + -1)

Reorder the terms:
-2 + 5x + 12x2 = -1(-1 + 11x)
-2 + 5x + 12x2 = (-1 * -1 + 11x * -1)
-2 + 5x + 12x2 = (1 + -11x)

Solving
-2 + 5x + 12x2 = 1 + -11x

Solving for variable 'x'.

Reorder the terms:
-2 + -1 + 5x + 11x + 12x2 = 1 + -11x + -1 + 11x

Combine like terms: -2 + -1 = -3
-3 + 5x + 11x + 12x2 = 1 + -11x + -1 + 11x

Combine like terms: 5x + 11x = 16x
-3 + 16x + 12x2 = 1 + -11x + -1 + 11x

Reorder the terms:
-3 + 16x + 12x2 = 1 + -1 + -11x + 11x

Combine like terms: 1 + -1 = 0
-3 + 16x + 12x2 = 0 + -11x + 11x
-3 + 16x + 12x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
-3 + 16x + 12x2 = 0

Factor a trinomial.
(-3 + -2x)(1 + -6x) = 0


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

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 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 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Solution
x = {-1.5, 0.1666666667}

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