solve(2a+5)(7a-1)=0

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Solution for solve(2a+5)(7a-1)=0 equation: 


Simplifying
solve(2a + 5)(7a + -1) = 0

Reorder the terms:
elosv(5 + 2a)(7a + -1) = 0

Reorder the terms:
elosv(5 + 2a)(-1 + 7a) = 0

Multiply (5 + 2a) * (-1 + 7a)
elosv(5(-1 + 7a) + 2a * (-1 + 7a)) = 0
elosv((-1 * 5 + 7a * 5) + 2a * (-1 + 7a)) = 0
elosv((-5 + 35a) + 2a * (-1 + 7a)) = 0
elosv(-5 + 35a + (-1 * 2a + 7a * 2a)) = 0
elosv(-5 + 35a + (-2a + 14a2)) = 0

Combine like terms: 35a + -2a = 33a
elosv(-5 + 33a + 14a2) = 0
(-5 * elosv + 33a * elosv + 14a2 * elosv) = 0

Reorder the terms:
(33aelosv + 14a2elosv + -5elosv) = 0
(33aelosv + 14a2elosv + -5elosv) = 0

Solving
33aelosv + 14a2elosv + -5elosv = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'elosv'.
elosv(33a + 14a2 + -5) = 0

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


Subproblem 1
Set the factor 'elosv' equal to zero and attempt to solve:

Simplifying
elosv = 0

Solving
elosv = 0

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

Add '-1elosv' to each side of the equation.
elosv + -1elosv = 0 + -1elosv
Remove the zero:
0 = -1elosv

Simplifying
0 = -1elosv

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7a + -1)' equal to zero and attempt to solve:

Simplifying
7a + -1 = 0

Reorder the terms:
-1 + 7a = 0

Solving
-1 + 7a = 0

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

Add '1' to each side of the equation.
-1 + 1 + 7a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7a = 0 + 1
7a = 0 + 1

Combine like terms: 0 + 1 = 1
7a = 1

Divide each side by '7'.
a = 0.1428571429

Simplifying
a = 0.1428571429

Subproblem 3
Set the factor '(2a + 5)' equal to zero and attempt to solve:

Simplifying
2a + 5 = 0

Reorder the terms:
5 + 2a = 0

Solving
5 + 2a = 0

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

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

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

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

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

Simplifying
a = -2.5
Solution
a = {0.1428571429, -2.5}

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