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

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Solution for 928=(x-2)(3x+4) equation: 


Simplifying
928 = (x + -2)(3x + 4)

Reorder the terms:
928 = (-2 + x)(3x + 4)

Reorder the terms:
928 = (-2 + x)(4 + 3x)

Multiply (-2 + x) * (4 + 3x)
928 = (-2(4 + 3x) + x(4 + 3x))
928 = ((4 * -2 + 3x * -2) + x(4 + 3x))
928 = ((-8 + -6x) + x(4 + 3x))
928 = (-8 + -6x + (4 * x + 3x * x))
928 = (-8 + -6x + (4x + 3x2))

Combine like terms: -6x + 4x = -2x
928 = (-8 + -2x + 3x2)

Solving
928 = -8 + -2x + 3x2

Solving for variable 'x'.

Combine like terms: 928 + 8 = 936
936 + 2x + -3x2 = -8 + -2x + 3x2 + 8 + 2x + -3x2

Reorder the terms:
936 + 2x + -3x2 = -8 + 8 + -2x + 2x + 3x2 + -3x2

Combine like terms: -8 + 8 = 0
936 + 2x + -3x2 = 0 + -2x + 2x + 3x2 + -3x2
936 + 2x + -3x2 = -2x + 2x + 3x2 + -3x2

Combine like terms: -2x + 2x = 0
936 + 2x + -3x2 = 0 + 3x2 + -3x2
936 + 2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
936 + 2x + -3x2 = 0

Factor a trinomial.
(18 + -1x)(52 + 3x) = 0


Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

Subproblem 2
Set the factor '(52 + 3x)' equal to zero and attempt to solve:

Simplifying
52 + 3x = 0

Solving
52 + 3x = 0

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

Add '-52' to each side of the equation.
52 + -52 + 3x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 3x = 0 + -52
3x = 0 + -52

Combine like terms: 0 + -52 = -52
3x = -52

Divide each side by '3'.
x = -17.33333333

Simplifying
x = -17.33333333
Solution
x = {18, -17.33333333}

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