x^2+(x-7)*(x-7)=(x+7)*(x+7)

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


Simplifying
x2 + (x + -7)(x + -7) = (x + 7)(x + 7)

Reorder the terms:
x2 + (-7 + x)(x + -7) = (x + 7)(x + 7)

Reorder the terms:
x2 + (-7 + x)(-7 + x) = (x + 7)(x + 7)

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

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

Reorder the terms:
49 + -14x + x2 + x2 = (x + 7)(x + 7)

Combine like terms: x2 + x2 = 2x2
49 + -14x + 2x2 = (x + 7)(x + 7)

Reorder the terms:
49 + -14x + 2x2 = (7 + x)(x + 7)

Reorder the terms:
49 + -14x + 2x2 = (7 + x)(7 + x)

Multiply (7 + x) * (7 + x)
49 + -14x + 2x2 = (7(7 + x) + x(7 + x))
49 + -14x + 2x2 = ((7 * 7 + x * 7) + x(7 + x))
49 + -14x + 2x2 = ((49 + 7x) + x(7 + x))
49 + -14x + 2x2 = (49 + 7x + (7 * x + x * x))
49 + -14x + 2x2 = (49 + 7x + (7x + x2))

Combine like terms: 7x + 7x = 14x
49 + -14x + 2x2 = (49 + 14x + x2)

Add '-49' to each side of the equation.
49 + -14x + -49 + 2x2 = 49 + 14x + -49 + x2

Reorder the terms:
49 + -49 + -14x + 2x2 = 49 + 14x + -49 + x2

Combine like terms: 49 + -49 = 0
0 + -14x + 2x2 = 49 + 14x + -49 + x2
-14x + 2x2 = 49 + 14x + -49 + x2

Reorder the terms:
-14x + 2x2 = 49 + -49 + 14x + x2

Combine like terms: 49 + -49 = 0
-14x + 2x2 = 0 + 14x + x2
-14x + 2x2 = 14x + x2

Solving
-14x + 2x2 = 14x + x2

Solving for variable 'x'.

Reorder the terms:
-14x + -14x + 2x2 + -1x2 = 14x + x2 + -14x + -1x2

Combine like terms: -14x + -14x = -28x
-28x + 2x2 + -1x2 = 14x + x2 + -14x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-28x + 1x2 = 14x + x2 + -14x + -1x2

Reorder the terms:
-28x + 1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
-28x + 1x2 = 0 + x2 + -1x2
-28x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28x + 1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-28 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-28 + x)' equal to zero and attempt to solve:

Simplifying
-28 + x = 0

Solving
-28 + x = 0

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

Add '28' to each side of the equation.
-28 + 28 + x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + x = 0 + 28
x = 0 + 28

Combine like terms: 0 + 28 = 28
x = 28

Simplifying
x = 28
Solution
x = {0, 28}

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