(3a-5)(5a+7)=

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Solution for (3a-5)(5a+7)= equation: 


Simplifying
(3a + -5)(5a + 7) = 0

Reorder the terms:
(-5 + 3a)(5a + 7) = 0

Reorder the terms:
(-5 + 3a)(7 + 5a) = 0

Multiply (-5 + 3a) * (7 + 5a)
(-5(7 + 5a) + 3a * (7 + 5a)) = 0
((7 * -5 + 5a * -5) + 3a * (7 + 5a)) = 0
((-35 + -25a) + 3a * (7 + 5a)) = 0
(-35 + -25a + (7 * 3a + 5a * 3a)) = 0
(-35 + -25a + (21a + 15a2)) = 0

Combine like terms: -25a + 21a = -4a
(-35 + -4a + 15a2) = 0

Solving
-35 + -4a + 15a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -5a)(5 + -3a) = 0


Subproblem 1
Set the factor '(-7 + -5a)' equal to zero and attempt to solve:

Simplifying
-7 + -5a = 0

Solving
-7 + -5a = 0

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

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

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

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

Divide each side by '-5'.
a = -1.4

Simplifying
a = -1.4

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

Simplifying
5 + -3a = 0

Solving
5 + -3a = 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 + -3a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3a = 0 + -5
-3a = 0 + -5

Combine like terms: 0 + -5 = -5
-3a = -5

Divide each side by '-3'.
a = 1.666666667

Simplifying
a = 1.666666667
Solution
a = {-1.4, 1.666666667}

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