3(x+5)(x+5)-1=26

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Solution for 3(x+5)(x+5)-1=26 equation: 


Simplifying
3(x + 5)(x + 5) + -1 = 26

Reorder the terms:
3(5 + x)(x + 5) + -1 = 26

Reorder the terms:
3(5 + x)(5 + x) + -1 = 26

Multiply (5 + x) * (5 + x)
3(5(5 + x) + x(5 + x)) + -1 = 26
3((5 * 5 + x * 5) + x(5 + x)) + -1 = 26
3((25 + 5x) + x(5 + x)) + -1 = 26
3(25 + 5x + (5 * x + x * x)) + -1 = 26
3(25 + 5x + (5x + x2)) + -1 = 26

Combine like terms: 5x + 5x = 10x
3(25 + 10x + x2) + -1 = 26
(25 * 3 + 10x * 3 + x2 * 3) + -1 = 26
(75 + 30x + 3x2) + -1 = 26

Reorder the terms:
75 + -1 + 30x + 3x2 = 26

Combine like terms: 75 + -1 = 74
74 + 30x + 3x2 = 26

Solving
74 + 30x + 3x2 = 26

Solving for variable 'x'.

Reorder the terms:
74 + -26 + 30x + 3x2 = 26 + -26

Combine like terms: 74 + -26 = 48
48 + 30x + 3x2 = 26 + -26

Combine like terms: 26 + -26 = 0
48 + 30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + 10x + x2) = 0

Factor a trinomial.
3((8 + x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

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

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

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

Simplifying
x = -8

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-8, -2}

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