(7x+2)(5x+14)=0

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Solution for (7x+2)(5x+14)=0 equation: 


Simplifying
(7x + 2)(5x + 14) = 0

Reorder the terms:
(2 + 7x)(5x + 14) = 0

Reorder the terms:
(2 + 7x)(14 + 5x) = 0

Multiply (2 + 7x) * (14 + 5x)
(2(14 + 5x) + 7x * (14 + 5x)) = 0
((14 * 2 + 5x * 2) + 7x * (14 + 5x)) = 0
((28 + 10x) + 7x * (14 + 5x)) = 0
(28 + 10x + (14 * 7x + 5x * 7x)) = 0
(28 + 10x + (98x + 35x2)) = 0

Combine like terms: 10x + 98x = 108x
(28 + 108x + 35x2) = 0

Solving
28 + 108x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(14 + 5x)(2 + 7x) = 0


Subproblem 1
Set the factor '(14 + 5x)' equal to zero and attempt to solve:

Simplifying
14 + 5x = 0

Solving
14 + 5x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 0 + -14
5x = 0 + -14

Combine like terms: 0 + -14 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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

Simplifying
2 + 7x = 0

Solving
2 + 7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {-2.8, -0.2857142857}

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