(x+3)2-5(x+3)+4=0

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Solution for (x+3)2-5(x+3)+4=0 equation:


Simplifying
(x + 3) * 2 + -5(x + 3) + 4 = 0

Reorder the terms:
(3 + x) * 2 + -5(x + 3) + 4 = 0

Reorder the terms for easier multiplication:
2(3 + x) + -5(x + 3) + 4 = 0
(3 * 2 + x * 2) + -5(x + 3) + 4 = 0
(6 + 2x) + -5(x + 3) + 4 = 0

Reorder the terms:
6 + 2x + -5(3 + x) + 4 = 0
6 + 2x + (3 * -5 + x * -5) + 4 = 0
6 + 2x + (-15 + -5x) + 4 = 0

Reorder the terms:
6 + -15 + 4 + 2x + -5x = 0

Combine like terms: 6 + -15 = -9
-9 + 4 + 2x + -5x = 0

Combine like terms: -9 + 4 = -5
-5 + 2x + -5x = 0

Combine like terms: 2x + -5x = -3x
-5 + -3x = 0

Solving
-5 + -3x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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