-3+8=(x+1)(5+8x)

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Solution for -3+8=(x+1)(5+8x) equation: 


Simplifying
-3 + 8 = (x + 1)(5 + 8x)

Combine like terms: -3 + 8 = 5
5 = (x + 1)(5 + 8x)

Reorder the terms:
5 = (1 + x)(5 + 8x)

Multiply (1 + x) * (5 + 8x)
5 = (1(5 + 8x) + x(5 + 8x))
5 = ((5 * 1 + 8x * 1) + x(5 + 8x))
5 = ((5 + 8x) + x(5 + 8x))
5 = (5 + 8x + (5 * x + 8x * x))
5 = (5 + 8x + (5x + 8x2))

Combine like terms: 8x + 5x = 13x
5 = (5 + 13x + 8x2)

Add '-5' to each side of the equation.
5 + -5 = 5 + 13x + -5 + 8x2

Combine like terms: 5 + -5 = 0
0 = 5 + 13x + -5 + 8x2

Reorder the terms:
0 = 5 + -5 + 13x + 8x2

Combine like terms: 5 + -5 = 0
0 = 0 + 13x + 8x2
0 = 13x + 8x2

Solving
0 = 13x + 8x2

Solving for variable 'x'.
Remove the zero:
-13x + -8x2 = 13x + 8x2 + -13x + -8x2

Reorder the terms:
-13x + -8x2 = 13x + -13x + 8x2 + -8x2

Combine like terms: 13x + -13x = 0
-13x + -8x2 = 0 + 8x2 + -8x2
-13x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-13x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(13 + 8x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(13 + 8x)' equal to zero and attempt to solve:

Simplifying
13 + 8x = 0

Solving
13 + 8x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 8x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 8x = 0 + -13
8x = 0 + -13

Combine like terms: 0 + -13 = -13
8x = -13

Divide each side by '8'.
x = -1.625

Simplifying
x = -1.625
Solution
x = {0, -1.625}

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