3(x+5)(x+5)-10(x+5)-8=0

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Solution for 3(x+5)(x+5)-10(x+5)-8=0 equation: 


Simplifying
3(x + 5)(x + 5) + -10(x + 5) + -8 = 0

Reorder the terms:
3(5 + x)(x + 5) + -10(x + 5) + -8 = 0

Reorder the terms:
3(5 + x)(5 + x) + -10(x + 5) + -8 = 0

Multiply (5 + x) * (5 + x)
3(5(5 + x) + x(5 + x)) + -10(x + 5) + -8 = 0
3((5 * 5 + x * 5) + x(5 + x)) + -10(x + 5) + -8 = 0
3((25 + 5x) + x(5 + x)) + -10(x + 5) + -8 = 0
3(25 + 5x + (5 * x + x * x)) + -10(x + 5) + -8 = 0
3(25 + 5x + (5x + x2)) + -10(x + 5) + -8 = 0

Combine like terms: 5x + 5x = 10x
3(25 + 10x + x2) + -10(x + 5) + -8 = 0
(25 * 3 + 10x * 3 + x2 * 3) + -10(x + 5) + -8 = 0
(75 + 30x + 3x2) + -10(x + 5) + -8 = 0

Reorder the terms:
75 + 30x + 3x2 + -10(5 + x) + -8 = 0
75 + 30x + 3x2 + (5 * -10 + x * -10) + -8 = 0
75 + 30x + 3x2 + (-50 + -10x) + -8 = 0

Reorder the terms:
75 + -50 + -8 + 30x + -10x + 3x2 = 0

Combine like terms: 75 + -50 = 25
25 + -8 + 30x + -10x + 3x2 = 0

Combine like terms: 25 + -8 = 17
17 + 30x + -10x + 3x2 = 0

Combine like terms: 30x + -10x = 20x
17 + 20x + 3x2 = 0

Solving
17 + 20x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(17 + 3x)(1 + x) = 0


Subproblem 1
Set the factor '(17 + 3x)' equal to zero and attempt to solve:

Simplifying
17 + 3x = 0

Solving
17 + 3x = 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 + 3x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 0 + -17
3x = 0 + -17

Combine like terms: 0 + -17 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-5.666666667, -1}

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