(x+5)2+7(x+5)+6=0

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Solution for (x+5)2+7(x+5)+6=0 equation:


Simplifying
(x + 5) * 2 + 7(x + 5) + 6 = 0

Reorder the terms:
(5 + x) * 2 + 7(x + 5) + 6 = 0

Reorder the terms for easier multiplication:
2(5 + x) + 7(x + 5) + 6 = 0
(5 * 2 + x * 2) + 7(x + 5) + 6 = 0
(10 + 2x) + 7(x + 5) + 6 = 0

Reorder the terms:
10 + 2x + 7(5 + x) + 6 = 0
10 + 2x + (5 * 7 + x * 7) + 6 = 0
10 + 2x + (35 + 7x) + 6 = 0

Reorder the terms:
10 + 35 + 6 + 2x + 7x = 0

Combine like terms: 10 + 35 = 45
45 + 6 + 2x + 7x = 0

Combine like terms: 45 + 6 = 51
51 + 2x + 7x = 0

Combine like terms: 2x + 7x = 9x
51 + 9x = 0

Solving
51 + 9x = 0

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + 9x = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 9x = 0 + -51
9x = 0 + -51

Combine like terms: 0 + -51 = -51
9x = -51

Divide each side by '9'.
x = -5.666666667

Simplifying
x = -5.666666667

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