(2x-5)2=4x(X-2)+61

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Solution for (2x-5)2=4x(X-2)+61 equation:


Simplifying
(2x + -5) * 2 = 4x(X + -2) + 61

Reorder the terms:
(-5 + 2x) * 2 = 4x(X + -2) + 61

Reorder the terms for easier multiplication:
2(-5 + 2x) = 4x(X + -2) + 61
(-5 * 2 + 2x * 2) = 4x(X + -2) + 61
(-10 + 4x) = 4x(X + -2) + 61

Reorder the terms:
-10 + 4x = 4x(-2 + X) + 61
-10 + 4x = (-2 * 4x + X * 4x) + 61
-10 + 4x = (-8x + 4xX) + 61

Reorder the terms:
-10 + 4x = 61 + -8x + 4xX

Solving
-10 + 4x = 61 + -8x + 4xX

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-10 + 4x + 8x = 61 + -8x + 8x + 4xX

Combine like terms: 4x + 8x = 12x
-10 + 12x = 61 + -8x + 8x + 4xX

Combine like terms: -8x + 8x = 0
-10 + 12x = 61 + 0 + 4xX
-10 + 12x = 61 + 4xX

Add '-4xX' to each side of the equation.
-10 + 12x + -4xX = 61 + 4xX + -4xX

Combine like terms: 4xX + -4xX = 0
-10 + 12x + -4xX = 61 + 0
-10 + 12x + -4xX = 61

Add '10' to each side of the equation.
-10 + 12x + 10 + -4xX = 61 + 10

Reorder the terms:
-10 + 10 + 12x + -4xX = 61 + 10

Combine like terms: -10 + 10 = 0
0 + 12x + -4xX = 61 + 10
12x + -4xX = 61 + 10

Combine like terms: 61 + 10 = 71
12x + -4xX = 71

Reorder the terms:
-71 + 12x + -4xX = 71 + -71

Combine like terms: 71 + -71 = 0
-71 + 12x + -4xX = 0

The solution to this equation could not be determined.

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