(8a-14)(2a-6)=

Solution for (8a-14)(2a-6)= equation:

Simplifying
(8a + -14)(2a + -6) = 0

Reorder the terms:
(-14 + 8a)(2a + -6) = 0

Reorder the terms:
(-14 + 8a)(-6 + 2a) = 0

Multiply (-14 + 8a) * (-6 + 2a)
(-14(-6 + 2a) + 8a * (-6 + 2a)) = 0
((-6 * -14 + 2a * -14) + 8a * (-6 + 2a)) = 0
((84 + -28a) + 8a * (-6 + 2a)) = 0
(84 + -28a + (-6 * 8a + 2a * 8a)) = 0
(84 + -28a + (-48a + 16a2)) = 0

Combine like terms: -28a + -48a = -76a
(84 + -76a + 16a2) = 0

Solving
84 + -76a + 16a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(21 + -19a + 4a2) = 0

Factor a trinomial.
4((7 + -4a)(3 + -1a)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(7 + -4a)' equal to zero and attempt to solve:

Simplifying
7 + -4a = 0

Solving
7 + -4a = 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 + -4a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4a = 0 + -7
-4a = 0 + -7

Combine like terms: 0 + -7 = -7
-4a = -7

Divide each side by '-4'.
a = 1.75

Simplifying
a = 1.75
Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Solution
a = {1.75, 3}