(4X+7)(X+7)=58X+121

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Solution for (4X+7)(X+7)=58X+121 equation: 


Simplifying
(4X + 7)(X + 7) = 58X + 121

Reorder the terms:
(7 + 4X)(X + 7) = 58X + 121

Reorder the terms:
(7 + 4X)(7 + X) = 58X + 121

Multiply (7 + 4X) * (7 + X)
(7(7 + X) + 4X * (7 + X)) = 58X + 121
((7 * 7 + X * 7) + 4X * (7 + X)) = 58X + 121
((49 + 7X) + 4X * (7 + X)) = 58X + 121
(49 + 7X + (7 * 4X + X * 4X)) = 58X + 121
(49 + 7X + (28X + 4X2)) = 58X + 121

Combine like terms: 7X + 28X = 35X
(49 + 35X + 4X2) = 58X + 121

Reorder the terms:
49 + 35X + 4X2 = 121 + 58X

Solving
49 + 35X + 4X2 = 121 + 58X

Solving for variable 'X'.

Reorder the terms:
49 + -121 + 35X + -58X + 4X2 = 121 + 58X + -121 + -58X

Combine like terms: 49 + -121 = -72
-72 + 35X + -58X + 4X2 = 121 + 58X + -121 + -58X

Combine like terms: 35X + -58X = -23X
-72 + -23X + 4X2 = 121 + 58X + -121 + -58X

Reorder the terms:
-72 + -23X + 4X2 = 121 + -121 + 58X + -58X

Combine like terms: 121 + -121 = 0
-72 + -23X + 4X2 = 0 + 58X + -58X
-72 + -23X + 4X2 = 58X + -58X

Combine like terms: 58X + -58X = 0
-72 + -23X + 4X2 = 0

Factor a trinomial.
(-9 + -4X)(8 + -1X) = 0


Subproblem 1
Set the factor '(-9 + -4X)' equal to zero and attempt to solve:

Simplifying
-9 + -4X = 0

Solving
-9 + -4X = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4X = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4X = 0 + 9
-4X = 0 + 9

Combine like terms: 0 + 9 = 9
-4X = 9

Divide each side by '-4'.
X = -2.25

Simplifying
X = -2.25

Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve:

Simplifying
8 + -1X = 0

Solving
8 + -1X = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X = 0 + -8
-1X = 0 + -8

Combine like terms: 0 + -8 = -8
-1X = -8

Divide each side by '-1'.
X = 8

Simplifying
X = 8
Solution
X = {-2.25, 8}

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