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

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


Simplifying
(2x + 5) * 2 + -1(2x + 5) + -6 = 0

Reorder the terms:
(5 + 2x) * 2 + -1(2x + 5) + -6 = 0

Reorder the terms for easier multiplication:
2(5 + 2x) + -1(2x + 5) + -6 = 0
(5 * 2 + 2x * 2) + -1(2x + 5) + -6 = 0
(10 + 4x) + -1(2x + 5) + -6 = 0

Reorder the terms:
10 + 4x + -1(5 + 2x) + -6 = 0
10 + 4x + (5 * -1 + 2x * -1) + -6 = 0
10 + 4x + (-5 + -2x) + -6 = 0

Reorder the terms:
10 + -5 + -6 + 4x + -2x = 0

Combine like terms: 10 + -5 = 5
5 + -6 + 4x + -2x = 0

Combine like terms: 5 + -6 = -1
-1 + 4x + -2x = 0

Combine like terms: 4x + -2x = 2x
-1 + 2x = 0

Solving
-1 + 2x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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