336=(x+5-4)(x-4)(1)

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Solution for 336=(x+5-4)(x-4)(1) equation: 


Simplifying
336 = (x + 5 + -4)(x + -4)(1)

Reorder the terms:
336 = (5 + -4 + x)(x + -4)(1)

Combine like terms: 5 + -4 = 1
336 = (1 + x)(x + -4)(1)

Reorder the terms:
336 = (1 + x)(-4 + x)(1)

Reorder the terms for easier multiplication:
336 = 1(1 + x)(-4 + x)

Multiply (1 + x) * (-4 + x)
336 = 1(1(-4 + x) + x(-4 + x))
336 = 1((-4 * 1 + x * 1) + x(-4 + x))
336 = 1((-4 + 1x) + x(-4 + x))
336 = 1(-4 + 1x + (-4 * x + x * x))
336 = 1(-4 + 1x + (-4x + x2))

Combine like terms: 1x + -4x = -3x
336 = 1(-4 + -3x + x2)
336 = (-4 * 1 + -3x * 1 + x2 * 1)
336 = (-4 + -3x + 1x2)

Solving
336 = -4 + -3x + 1x2

Solving for variable 'x'.

Combine like terms: 336 + 4 = 340
340 + 3x + -1x2 = -4 + -3x + 1x2 + 4 + 3x + -1x2

Reorder the terms:
340 + 3x + -1x2 = -4 + 4 + -3x + 3x + 1x2 + -1x2

Combine like terms: -4 + 4 = 0
340 + 3x + -1x2 = 0 + -3x + 3x + 1x2 + -1x2
340 + 3x + -1x2 = -3x + 3x + 1x2 + -1x2

Combine like terms: -3x + 3x = 0
340 + 3x + -1x2 = 0 + 1x2 + -1x2
340 + 3x + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
340 + 3x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(17 + x) = 0


Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Solution
x = {20, -17}

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