(14a+2)(2a-9)=

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Solution for (14a+2)(2a-9)= equation: 


Simplifying
(14a + 2)(2a + -9) = 0

Reorder the terms:
(2 + 14a)(2a + -9) = 0

Reorder the terms:
(2 + 14a)(-9 + 2a) = 0

Multiply (2 + 14a) * (-9 + 2a)
(2(-9 + 2a) + 14a * (-9 + 2a)) = 0
((-9 * 2 + 2a * 2) + 14a * (-9 + 2a)) = 0
((-18 + 4a) + 14a * (-9 + 2a)) = 0
(-18 + 4a + (-9 * 14a + 2a * 14a)) = 0
(-18 + 4a + (-126a + 28a2)) = 0

Combine like terms: 4a + -126a = -122a
(-18 + -122a + 28a2) = 0

Solving
-18 + -122a + 28a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -61a + 14a2) = 0

Factor a trinomial.
2((-1 + -7a)(9 + -2a)) = 0

Ignore the factor 2.

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

Simplifying
-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 2
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
Solution
a = {-0.1428571429, 4.5}

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