(x+3)2+(x+3)2=-13x

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Solution for (x+3)2+(x+3)2=-13x equation:


Simplifying
(x + 3) * 2 + (x + 3) * 2 = -13x

Reorder the terms:
(3 + x) * 2 + (x + 3) * 2 = -13x

Reorder the terms for easier multiplication:
2(3 + x) + (x + 3) * 2 = -13x
(3 * 2 + x * 2) + (x + 3) * 2 = -13x
(6 + 2x) + (x + 3) * 2 = -13x

Reorder the terms:
6 + 2x + (3 + x) * 2 = -13x

Reorder the terms for easier multiplication:
6 + 2x + 2(3 + x) = -13x
6 + 2x + (3 * 2 + x * 2) = -13x
6 + 2x + (6 + 2x) = -13x

Reorder the terms:
6 + 6 + 2x + 2x = -13x

Combine like terms: 6 + 6 = 12
12 + 2x + 2x = -13x

Combine like terms: 2x + 2x = 4x
12 + 4x = -13x

Solving
12 + 4x = -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
12 + 4x + 13x = -13x + 13x

Combine like terms: 4x + 13x = 17x
12 + 17x = -13x + 13x

Combine like terms: -13x + 13x = 0
12 + 17x = 0

Add '-12' to each side of the equation.
12 + -12 + 17x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 17x = 0 + -12
17x = 0 + -12

Combine like terms: 0 + -12 = -12
17x = -12

Divide each side by '17'.
x = -0.7058823529

Simplifying
x = -0.7058823529

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