4x-6=(x+1)2

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Solution for 4x-6=(x+1)2 equation:


Simplifying
4x + -6 = (x + 1) * 2

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

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

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

Solving
-6 + 4x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 4x + -2x = 2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-6 + 2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 2x = 2 + 0
-6 + 2x = 2

Add '6' to each side of the equation.
-6 + 6 + 2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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