(x+7)(x+7)=576

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Solution for (x+7)(x+7)=576 equation: 


Simplifying
(x + 7)(x + 7) = 576

Reorder the terms:
(7 + x)(x + 7) = 576

Reorder the terms:
(7 + x)(7 + x) = 576

Multiply (7 + x) * (7 + x)
(7(7 + x) + x(7 + x)) = 576
((7 * 7 + x * 7) + x(7 + x)) = 576
((49 + 7x) + x(7 + x)) = 576
(49 + 7x + (7 * x + x * x)) = 576
(49 + 7x + (7x + x2)) = 576

Combine like terms: 7x + 7x = 14x
(49 + 14x + x2) = 576

Solving
49 + 14x + x2 = 576

Solving for variable 'x'.

Reorder the terms:
49 + -576 + 14x + x2 = 576 + -576

Combine like terms: 49 + -576 = -527
-527 + 14x + x2 = 576 + -576

Combine like terms: 576 + -576 = 0
-527 + 14x + x2 = 0

Factor a trinomial.
(-31 + -1x)(17 + -1x) = 0


Subproblem 1
Set the factor '(-31 + -1x)' equal to zero and attempt to solve:

Simplifying
-31 + -1x = 0

Solving
-31 + -1x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -1x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -1x = 0 + 31
-1x = 0 + 31

Combine like terms: 0 + 31 = 31
-1x = 31

Divide each side by '-1'.
x = -31

Simplifying
x = -31

Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-31, 17}

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