X^2+(7-x)(7-x)=49

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Solution for X^2+(7-x)(7-x)=49 equation:


Simplifying
X2 + (7 + -1x)(7 + -1x) = 49

Multiply (7 + -1x) * (7 + -1x)
X2 + (7(7 + -1x) + -1x * (7 + -1x)) = 49
X2 + ((7 * 7 + -1x * 7) + -1x * (7 + -1x)) = 49
X2 + ((49 + -7x) + -1x * (7 + -1x)) = 49
X2 + (49 + -7x + (7 * -1x + -1x * -1x)) = 49
X2 + (49 + -7x + (-7x + 1x2)) = 49

Combine like terms: -7x + -7x = -14x
X2 + (49 + -14x + 1x2) = 49

Reorder the terms:
49 + X2 + -14x + 1x2 = 49

Add '-49' to each side of the equation.
49 + X2 + -14x + -49 + 1x2 = 49 + -49

Reorder the terms:
49 + -49 + X2 + -14x + 1x2 = 49 + -49

Combine like terms: 49 + -49 = 0
0 + X2 + -14x + 1x2 = 49 + -49
X2 + -14x + 1x2 = 49 + -49

Combine like terms: 49 + -49 = 0
X2 + -14x + 1x2 = 0

Solving
X2 + -14x + 1x2 = 0

Solving for variable 'X'.

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

Add '14x' to each side of the equation.
X2 + -14x + 14x + 1x2 = 0 + 14x

Combine like terms: -14x + 14x = 0
X2 + 0 + 1x2 = 0 + 14x
X2 + 1x2 = 0 + 14x
Remove the zero:
X2 + 1x2 = 14x

Add '-1x2' to each side of the equation.
X2 + 1x2 + -1x2 = 14x + -1x2

Combine like terms: 1x2 + -1x2 = 0
X2 + 0 = 14x + -1x2
X2 = 14x + -1x2

Simplifying
X2 = 14x + -1x2

Reorder the terms:
X2 + -14x + x2 = 14x + -14x + -1x2 + x2

Combine like terms: 14x + -14x = 0
X2 + -14x + x2 = 0 + -1x2 + x2
X2 + -14x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
X2 + -14x + x2 = 0

The solution to this equation could not be determined.

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