(x-1)2+7(x-1)+12=0

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Solution for (x-1)2+7(x-1)+12=0 equation:


Simplifying
(x + -1) * 2 + 7(x + -1) + 12 = 0

Reorder the terms:
(-1 + x) * 2 + 7(x + -1) + 12 = 0

Reorder the terms for easier multiplication:
2(-1 + x) + 7(x + -1) + 12 = 0
(-1 * 2 + x * 2) + 7(x + -1) + 12 = 0
(-2 + 2x) + 7(x + -1) + 12 = 0

Reorder the terms:
-2 + 2x + 7(-1 + x) + 12 = 0
-2 + 2x + (-1 * 7 + x * 7) + 12 = 0
-2 + 2x + (-7 + 7x) + 12 = 0

Reorder the terms:
-2 + -7 + 12 + 2x + 7x = 0

Combine like terms: -2 + -7 = -9
-9 + 12 + 2x + 7x = 0

Combine like terms: -9 + 12 = 3
3 + 2x + 7x = 0

Combine like terms: 2x + 7x = 9x
3 + 9x = 0

Solving
3 + 9x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 9x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 0 + -3
9x = 0 + -3

Combine like terms: 0 + -3 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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