-(3x+2)(x-4)=0

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Solution for -(3x+2)(x-4)=0 equation: 


Simplifying
-1(3x + 2)(x + -4) = 0

Reorder the terms:
-1(2 + 3x)(x + -4) = 0

Reorder the terms:
-1(2 + 3x)(-4 + x) = 0

Multiply (2 + 3x) * (-4 + x)
-1(2(-4 + x) + 3x * (-4 + x)) = 0
-1((-4 * 2 + x * 2) + 3x * (-4 + x)) = 0
-1((-8 + 2x) + 3x * (-4 + x)) = 0
-1(-8 + 2x + (-4 * 3x + x * 3x)) = 0
-1(-8 + 2x + (-12x + 3x2)) = 0

Combine like terms: 2x + -12x = -10x
-1(-8 + -10x + 3x2) = 0
(-8 * -1 + -10x * -1 + 3x2 * -1) = 0
(8 + 10x + -3x2) = 0

Solving
8 + 10x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(2 + 3x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
2 + 3x = 0

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {4, -0.6666666667}

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