(5a-2)(6a-7)=

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Solution for (5a-2)(6a-7)= equation: 


Simplifying
(5a + -2)(6a + -7) = 0

Reorder the terms:
(-2 + 5a)(6a + -7) = 0

Reorder the terms:
(-2 + 5a)(-7 + 6a) = 0

Multiply (-2 + 5a) * (-7 + 6a)
(-2(-7 + 6a) + 5a * (-7 + 6a)) = 0
((-7 * -2 + 6a * -2) + 5a * (-7 + 6a)) = 0
((14 + -12a) + 5a * (-7 + 6a)) = 0
(14 + -12a + (-7 * 5a + 6a * 5a)) = 0
(14 + -12a + (-35a + 30a2)) = 0

Combine like terms: -12a + -35a = -47a
(14 + -47a + 30a2) = 0

Solving
14 + -47a + 30a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -5a)(7 + -6a) = 0


Subproblem 1
Set the factor '(2 + -5a)' equal to zero and attempt to solve:

Simplifying
2 + -5a = 0

Solving
2 + -5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a = 0 + -2
-5a = 0 + -2

Combine like terms: 0 + -2 = -2
-5a = -2

Divide each side by '-5'.
a = 0.4

Simplifying
a = 0.4

Subproblem 2
Set the factor '(7 + -6a)' equal to zero and attempt to solve:

Simplifying
7 + -6a = 0

Solving
7 + -6a = 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 + -6a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6a = 0 + -7
-6a = 0 + -7

Combine like terms: 0 + -7 = -7
-6a = -7

Divide each side by '-6'.
a = 1.166666667

Simplifying
a = 1.166666667
Solution
a = {0.4, 1.166666667}

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