300=(x+5-4)(x-4)(2)

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Solution for 300=(x+5-4)(x-4)(2) equation: 


Simplifying
300 = (x + 5 + -4)(x + -4)(2)

Reorder the terms:
300 = (5 + -4 + x)(x + -4)(2)

Combine like terms: 5 + -4 = 1
300 = (1 + x)(x + -4)(2)

Reorder the terms:
300 = (1 + x)(-4 + x)(2)

Reorder the terms for easier multiplication:
300 = 2(1 + x)(-4 + x)

Multiply (1 + x) * (-4 + x)
300 = 2(1(-4 + x) + x(-4 + x))
300 = 2((-4 * 1 + x * 1) + x(-4 + x))
300 = 2((-4 + 1x) + x(-4 + x))
300 = 2(-4 + 1x + (-4 * x + x * x))
300 = 2(-4 + 1x + (-4x + x2))

Combine like terms: 1x + -4x = -3x
300 = 2(-4 + -3x + x2)
300 = (-4 * 2 + -3x * 2 + x2 * 2)
300 = (-8 + -6x + 2x2)

Solving
300 = -8 + -6x + 2x2

Solving for variable 'x'.

Combine like terms: 300 + 8 = 308
308 + 6x + -2x2 = -8 + -6x + 2x2 + 8 + 6x + -2x2

Reorder the terms:
308 + 6x + -2x2 = -8 + 8 + -6x + 6x + 2x2 + -2x2

Combine like terms: -8 + 8 = 0
308 + 6x + -2x2 = 0 + -6x + 6x + 2x2 + -2x2
308 + 6x + -2x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
308 + 6x + -2x2 = 0 + 2x2 + -2x2
308 + 6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
308 + 6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(154 + 3x + -1x2) = 0

Factor a trinomial.
2((14 + -1x)(11 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {14, -11}

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