48(3x+3)=(5x+5)(5x+5)

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Solution for 48(3x+3)=(5x+5)(5x+5) equation: 


Simplifying
48(3x + 3) = (5x + 5)(5x + 5)

Reorder the terms:
48(3 + 3x) = (5x + 5)(5x + 5)
(3 * 48 + 3x * 48) = (5x + 5)(5x + 5)
(144 + 144x) = (5x + 5)(5x + 5)

Reorder the terms:
144 + 144x = (5 + 5x)(5x + 5)

Reorder the terms:
144 + 144x = (5 + 5x)(5 + 5x)

Multiply (5 + 5x) * (5 + 5x)
144 + 144x = (5(5 + 5x) + 5x * (5 + 5x))
144 + 144x = ((5 * 5 + 5x * 5) + 5x * (5 + 5x))
144 + 144x = ((25 + 25x) + 5x * (5 + 5x))
144 + 144x = (25 + 25x + (5 * 5x + 5x * 5x))
144 + 144x = (25 + 25x + (25x + 25x2))

Combine like terms: 25x + 25x = 50x
144 + 144x = (25 + 50x + 25x2)

Solving
144 + 144x = 25 + 50x + 25x2

Solving for variable 'x'.

Reorder the terms:
144 + -25 + 144x + -50x + -25x2 = 25 + 50x + 25x2 + -25 + -50x + -25x2

Combine like terms: 144 + -25 = 119
119 + 144x + -50x + -25x2 = 25 + 50x + 25x2 + -25 + -50x + -25x2

Combine like terms: 144x + -50x = 94x
119 + 94x + -25x2 = 25 + 50x + 25x2 + -25 + -50x + -25x2

Reorder the terms:
119 + 94x + -25x2 = 25 + -25 + 50x + -50x + 25x2 + -25x2

Combine like terms: 25 + -25 = 0
119 + 94x + -25x2 = 0 + 50x + -50x + 25x2 + -25x2
119 + 94x + -25x2 = 50x + -50x + 25x2 + -25x2

Combine like terms: 50x + -50x = 0
119 + 94x + -25x2 = 0 + 25x2 + -25x2
119 + 94x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
119 + 94x + -25x2 = 0

Factor a trinomial.
(119 + -25x)(1 + x) = 0


Subproblem 1
Set the factor '(119 + -25x)' equal to zero and attempt to solve:

Simplifying
119 + -25x = 0

Solving
119 + -25x = 0

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

Add '-119' to each side of the equation.
119 + -119 + -25x = 0 + -119

Combine like terms: 119 + -119 = 0
0 + -25x = 0 + -119
-25x = 0 + -119

Combine like terms: 0 + -119 = -119
-25x = -119

Divide each side by '-25'.
x = 4.76

Simplifying
x = 4.76

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {4.76, -1}

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