X^2-10x+25+x^2+4x+4=4x^2-28x+49

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Solution for X^2-10x+25+x^2+4x+4=4x^2-28x+49 equation: 


Simplifying
X2 + -10x + 25 + x2 + 4x + 4 = 4x2 + -28x + 49

Reorder the terms:
25 + 4 + X2 + -10x + 4x + x2 = 4x2 + -28x + 49

Combine like terms: 25 + 4 = 29
29 + X2 + -10x + 4x + x2 = 4x2 + -28x + 49

Combine like terms: -10x + 4x = -6x
29 + X2 + -6x + x2 = 4x2 + -28x + 49

Reorder the terms:
29 + X2 + -6x + x2 = 49 + -28x + 4x2

Solving
29 + X2 + -6x + x2 = 49 + -28x + 4x2

Solving for variable 'X'.

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

Add '-29' to each side of the equation.
29 + X2 + -6x + -29 + x2 = 49 + -28x + -29 + 4x2

Reorder the terms:
29 + -29 + X2 + -6x + x2 = 49 + -28x + -29 + 4x2

Combine like terms: 29 + -29 = 0
0 + X2 + -6x + x2 = 49 + -28x + -29 + 4x2
X2 + -6x + x2 = 49 + -28x + -29 + 4x2

Reorder the terms:
X2 + -6x + x2 = 49 + -29 + -28x + 4x2

Combine like terms: 49 + -29 = 20
X2 + -6x + x2 = 20 + -28x + 4x2

Add '6x' to each side of the equation.
X2 + -6x + 6x + x2 = 20 + -28x + 6x + 4x2

Combine like terms: -6x + 6x = 0
X2 + 0 + x2 = 20 + -28x + 6x + 4x2
X2 + x2 = 20 + -28x + 6x + 4x2

Combine like terms: -28x + 6x = -22x
X2 + x2 = 20 + -22x + 4x2

Add '-1x2' to each side of the equation.
X2 + x2 + -1x2 = 20 + -22x + 4x2 + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 0 = 20 + -22x + 4x2 + -1x2
X2 = 20 + -22x + 4x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
X2 = 20 + -22x + 3x2

Simplifying
X2 = 20 + -22x + 3x2

Reorder the terms:
-20 + X2 + 22x + -3x2 = 20 + -22x + 3x2 + -20 + 22x + -3x2

Reorder the terms:
-20 + X2 + 22x + -3x2 = 20 + -20 + -22x + 22x + 3x2 + -3x2

Combine like terms: 20 + -20 = 0
-20 + X2 + 22x + -3x2 = 0 + -22x + 22x + 3x2 + -3x2
-20 + X2 + 22x + -3x2 = -22x + 22x + 3x2 + -3x2

Combine like terms: -22x + 22x = 0
-20 + X2 + 22x + -3x2 = 0 + 3x2 + -3x2
-20 + X2 + 22x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + X2 + 22x + -3x2 = 0

The solution to this equation could not be determined.

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