(3a-4)(3a-7)=

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Solution for (3a-4)(3a-7)= equation: 


Simplifying
(3a + -4)(3a + -7) = 0

Reorder the terms:
(-4 + 3a)(3a + -7) = 0

Reorder the terms:
(-4 + 3a)(-7 + 3a) = 0

Multiply (-4 + 3a) * (-7 + 3a)
(-4(-7 + 3a) + 3a * (-7 + 3a)) = 0
((-7 * -4 + 3a * -4) + 3a * (-7 + 3a)) = 0
((28 + -12a) + 3a * (-7 + 3a)) = 0
(28 + -12a + (-7 * 3a + 3a * 3a)) = 0
(28 + -12a + (-21a + 9a2)) = 0

Combine like terms: -12a + -21a = -33a
(28 + -33a + 9a2) = 0

Solving
28 + -33a + 9a2 = 0

Solving for variable 'a'.

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


Subproblem 1
Set the factor '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4

Combine like terms: 0 + -4 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333

Subproblem 2
Set the factor '(7 + -3a)' equal to zero and attempt to solve:

Simplifying
7 + -3a = 0

Solving
7 + -3a = 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 + -3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3a = 0 + -7
-3a = 0 + -7

Combine like terms: 0 + -7 = -7
-3a = -7

Divide each side by '-3'.
a = 2.333333333

Simplifying
a = 2.333333333
Solution
a = {1.333333333, 2.333333333}

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