(x-4)(x-4)=49

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Solution for (x-4)(x-4)=49 equation: 


Simplifying
(x + -4)(x + -4) = 49

Reorder the terms:
(-4 + x)(x + -4) = 49

Reorder the terms:
(-4 + x)(-4 + x) = 49

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) = 49
((-4 * -4 + x * -4) + x(-4 + x)) = 49
((16 + -4x) + x(-4 + x)) = 49
(16 + -4x + (-4 * x + x * x)) = 49
(16 + -4x + (-4x + x2)) = 49

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) = 49

Solving
16 + -8x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
16 + -49 + -8x + x2 = 49 + -49

Combine like terms: 16 + -49 = -33
-33 + -8x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-33 + -8x + x2 = 0

Factor a trinomial.
(-3 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-3, 11}

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