(5a-7)(2a+9)=

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Solution for (5a-7)(2a+9)= equation:


Simplifying
(5a + -7)(2a + 9) = 0

Reorder the terms:
(-7 + 5a)(2a + 9) = 0

Reorder the terms:
(-7 + 5a)(9 + 2a) = 0

Multiply (-7 + 5a) * (9 + 2a)
(-7(9 + 2a) + 5a * (9 + 2a)) = 0
((9 * -7 + 2a * -7) + 5a * (9 + 2a)) = 0
((-63 + -14a) + 5a * (9 + 2a)) = 0
(-63 + -14a + (9 * 5a + 2a * 5a)) = 0
(-63 + -14a + (45a + 10a2)) = 0

Combine like terms: -14a + 45a = 31a
(-63 + 31a + 10a2) = 0

Solving
-63 + 31a + 10a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9 + -2a)(7 + -5a) = 0


Subproblem 1
Set the factor '(-9 + -2a)' equal to zero and attempt to solve:

Simplifying
-9 + -2a = 0

Solving
-9 + -2a = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2a = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2a = 0 + 9
-2a = 0 + 9

Combine like terms: 0 + 9 = 9
-2a = 9

Divide each side by '-2'.
a = -4.5

Simplifying
a = -4.5

Subproblem 2
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
Solution
a = {-4.5, 1.4}

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