(7X+5)(2X+5)=0

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Solution for (7X+5)(2X+5)=0 equation: 


Simplifying
(7X + 5)(2X + 5) = 0

Reorder the terms:
(5 + 7X)(2X + 5) = 0

Reorder the terms:
(5 + 7X)(5 + 2X) = 0

Multiply (5 + 7X) * (5 + 2X)
(5(5 + 2X) + 7X * (5 + 2X)) = 0
((5 * 5 + 2X * 5) + 7X * (5 + 2X)) = 0
((25 + 10X) + 7X * (5 + 2X)) = 0
(25 + 10X + (5 * 7X + 2X * 7X)) = 0
(25 + 10X + (35X + 14X2)) = 0

Combine like terms: 10X + 35X = 45X
(25 + 45X + 14X2) = 0

Solving
25 + 45X + 14X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(5 + 2X)(5 + 7X) = 0


Subproblem 1
Set the factor '(5 + 2X)' equal to zero and attempt to solve:

Simplifying
5 + 2X = 0

Solving
5 + 2X = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2X = 0 + -5
2X = 0 + -5

Combine like terms: 0 + -5 = -5
2X = -5

Divide each side by '2'.
X = -2.5

Simplifying
X = -2.5

Subproblem 2
Set the factor '(5 + 7X)' equal to zero and attempt to solve:

Simplifying
5 + 7X = 0

Solving
5 + 7X = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7X = 0 + -5
7X = 0 + -5

Combine like terms: 0 + -5 = -5
7X = -5

Divide each side by '7'.
X = -0.7142857143

Simplifying
X = -0.7142857143
Solution
X = {-2.5, -0.7142857143}

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