0=2(x-7)(x-7)

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Solution for 0=2(x-7)(x-7) equation: 


Simplifying
0 = 2(x + -7)(x + -7)

Reorder the terms:
0 = 2(-7 + x)(x + -7)

Reorder the terms:
0 = 2(-7 + x)(-7 + x)

Multiply (-7 + x) * (-7 + x)
0 = 2(-7(-7 + x) + x(-7 + x))
0 = 2((-7 * -7 + x * -7) + x(-7 + x))
0 = 2((49 + -7x) + x(-7 + x))
0 = 2(49 + -7x + (-7 * x + x * x))
0 = 2(49 + -7x + (-7x + x2))

Combine like terms: -7x + -7x = -14x
0 = 2(49 + -14x + x2)
0 = (49 * 2 + -14x * 2 + x2 * 2)
0 = (98 + -28x + 2x2)

Solving
0 = 98 + -28x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -98 = -98
-98 + 28x + -2x2 = 98 + -28x + 2x2 + -98 + 28x + -2x2

Reorder the terms:
-98 + 28x + -2x2 = 98 + -98 + -28x + 28x + 2x2 + -2x2

Combine like terms: 98 + -98 = 0
-98 + 28x + -2x2 = 0 + -28x + 28x + 2x2 + -2x2
-98 + 28x + -2x2 = -28x + 28x + 2x2 + -2x2

Combine like terms: -28x + 28x = 0
-98 + 28x + -2x2 = 0 + 2x2 + -2x2
-98 + 28x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-98 + 28x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-49 + 14x + -1x2) = 0

Factor a trinomial.
2((-7 + x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

Solving
-7 + x = 0

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

Add '7' to each side of the equation.
-7 + 7 + x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + x = 0 + 7
x = 0 + 7

Combine like terms: 0 + 7 = 7
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {7, 7}

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