(2x+1)(7x+5)=0

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Solution for (2x+1)(7x+5)=0 equation:


Simplifying
(2x + 1)(7x + 5) = 0

Reorder the terms:
(1 + 2x)(7x + 5) = 0

Reorder the terms:
(1 + 2x)(5 + 7x) = 0

Multiply (1 + 2x) * (5 + 7x)
(1(5 + 7x) + 2x * (5 + 7x)) = 0
((5 * 1 + 7x * 1) + 2x * (5 + 7x)) = 0
((5 + 7x) + 2x * (5 + 7x)) = 0
(5 + 7x + (5 * 2x + 7x * 2x)) = 0
(5 + 7x + (10x + 14x2)) = 0

Combine like terms: 7x + 10x = 17x
(5 + 17x + 14x2) = 0

Solving
5 + 17x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 7x)(1 + 2x) = 0


Subproblem 1
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

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-0.7142857143, -0.5}

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