(x-3)(x-3)=49

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Solution for (x-3)(x-3)=49 equation: 


Simplifying
(x + -3)(x + -3) = 49

Reorder the terms:
(-3 + x)(x + -3) = 49

Reorder the terms:
(-3 + x)(-3 + x) = 49

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = 49
((-3 * -3 + x * -3) + x(-3 + x)) = 49
((9 + -3x) + x(-3 + x)) = 49
(9 + -3x + (-3 * x + x * x)) = 49
(9 + -3x + (-3x + x2)) = 49

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = 49

Solving
9 + -6x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
9 + -49 + -6x + x2 = 49 + -49

Combine like terms: 9 + -49 = -40
-40 + -6x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-40 + -6x + x2 = 0

Factor a trinomial.
(-4 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-4, 10}

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