128=(3x+7)(x+5)

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Solution for 128=(3x+7)(x+5) equation: 


Simplifying
128 = (3x + 7)(x + 5)

Reorder the terms:
128 = (7 + 3x)(x + 5)

Reorder the terms:
128 = (7 + 3x)(5 + x)

Multiply (7 + 3x) * (5 + x)
128 = (7(5 + x) + 3x * (5 + x))
128 = ((5 * 7 + x * 7) + 3x * (5 + x))
128 = ((35 + 7x) + 3x * (5 + x))
128 = (35 + 7x + (5 * 3x + x * 3x))
128 = (35 + 7x + (15x + 3x2))

Combine like terms: 7x + 15x = 22x
128 = (35 + 22x + 3x2)

Solving
128 = 35 + 22x + 3x2

Solving for variable 'x'.

Combine like terms: 128 + -35 = 93
93 + -22x + -3x2 = 35 + 22x + 3x2 + -35 + -22x + -3x2

Reorder the terms:
93 + -22x + -3x2 = 35 + -35 + 22x + -22x + 3x2 + -3x2

Combine like terms: 35 + -35 = 0
93 + -22x + -3x2 = 0 + 22x + -22x + 3x2 + -3x2
93 + -22x + -3x2 = 22x + -22x + 3x2 + -3x2

Combine like terms: 22x + -22x = 0
93 + -22x + -3x2 = 0 + 3x2 + -3x2
93 + -22x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
93 + -22x + -3x2 = 0

Factor a trinomial.
(3 + -1x)(31 + 3x) = 0


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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(31 + 3x)' equal to zero and attempt to solve:

Simplifying
31 + 3x = 0

Solving
31 + 3x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 3x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 3x = 0 + -31
3x = 0 + -31

Combine like terms: 0 + -31 = -31
3x = -31

Divide each side by '3'.
x = -10.33333333

Simplifying
x = -10.33333333
Solution
x = {3, -10.33333333}

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