25(x+2)(x+2)=49

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Solution for 25(x+2)(x+2)=49 equation: 


Simplifying
25(x + 2)(x + 2) = 49

Reorder the terms:
25(2 + x)(x + 2) = 49

Reorder the terms:
25(2 + x)(2 + x) = 49

Multiply (2 + x) * (2 + x)
25(2(2 + x) + x(2 + x)) = 49
25((2 * 2 + x * 2) + x(2 + x)) = 49
25((4 + 2x) + x(2 + x)) = 49
25(4 + 2x + (2 * x + x * x)) = 49
25(4 + 2x + (2x + x2)) = 49

Combine like terms: 2x + 2x = 4x
25(4 + 4x + x2) = 49
(4 * 25 + 4x * 25 + x2 * 25) = 49
(100 + 100x + 25x2) = 49

Solving
100 + 100x + 25x2 = 49

Solving for variable 'x'.

Reorder the terms:
100 + -49 + 100x + 25x2 = 49 + -49

Combine like terms: 100 + -49 = 51
51 + 100x + 25x2 = 49 + -49

Combine like terms: 49 + -49 = 0
51 + 100x + 25x2 = 0

Factor a trinomial.
(17 + 5x)(3 + 5x) = 0


Subproblem 1
Set the factor '(17 + 5x)' equal to zero and attempt to solve:

Simplifying
17 + 5x = 0

Solving
17 + 5x = 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 + 5x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 0 + -17
5x = 0 + -17

Combine like terms: 0 + -17 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-3.4, -0.6}

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