-26=2(5a-7)6a

Solution for -26=2(5a-7)6a equation:

Simplifying
-26 = 2(5a + -7) * 6a

Reorder the terms:
-26 = 2(-7 + 5a) * 6a

Reorder the terms for easier multiplication:
-26 = 2 * 6a(-7 + 5a)

Multiply 2 * 6
-26 = 12a(-7 + 5a)
-26 = (-7 * 12a + 5a * 12a)
-26 = (-84a + 60a2)

Solving
-26 = -84a + 60a2

Solving for variable 'a'.

Reorder the terms:
-26 + 84a + -60a2 = -84a + 84a + 60a2 + -60a2

Combine like terms: -84a + 84a = 0
-26 + 84a + -60a2 = 0 + 60a2 + -60a2
-26 + 84a + -60a2 = 60a2 + -60a2

Combine like terms: 60a2 + -60a2 = 0
-26 + 84a + -60a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 42a + -30a2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-13 + 42a + -30a2)' equal to zero and attempt to solve:

Simplifying
-13 + 42a + -30a2 = 0

Solving
-13 + 42a + -30a2 = 0

Begin completing the square.  Divide all terms by
-30 the coefficient of the squared term: 

Divide each side by '-30'.
0.4333333333 + -1.4a + a2 = 0.0

Move the constant term to the right:

Add '-0.4333333333' to each side of the equation.
0.4333333333 + -1.4a + -0.4333333333 + a2 = 0.0 + -0.4333333333

Reorder the terms:
0.4333333333 + -0.4333333333 + -1.4a + a2 = 0.0 + -0.4333333333

Combine like terms: 0.4333333333 + -0.4333333333 = 0.0000000000
0.0000000000 + -1.4a + a2 = 0.0 + -0.4333333333
-1.4a + a2 = 0.0 + -0.4333333333

Combine like terms: 0.0 + -0.4333333333 = -0.4333333333
-1.4a + a2 = -0.4333333333

The a term is -1.4a.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4a + 0.49 + a2 = -0.4333333333 + 0.49

Reorder the terms:
0.49 + -1.4a + a2 = -0.4333333333 + 0.49

Combine like terms: -0.4333333333 + 0.49 = 0.0566666667
0.49 + -1.4a + a2 = 0.0566666667

Factor a perfect square on the left side:
(a + -0.7)(a + -0.7) = 0.0566666667

Calculate the square root of the right side: 0.238047614

Break this problem into two subproblems by setting 
(a + -0.7) equal to 0.238047614 and -0.238047614.

Subproblem 1
a + -0.7 = 0.238047614

Simplifying
a + -0.7 = 0.238047614

Reorder the terms:
-0.7 + a = 0.238047614

Solving
-0.7 + a = 0.238047614

Solving for variable 'a'.

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

Add '0.7' to each side of the equation.
-0.7 + 0.7 + a = 0.238047614 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + a = 0.238047614 + 0.7
a = 0.238047614 + 0.7

Combine like terms: 0.238047614 + 0.7 = 0.938047614
a = 0.938047614

Simplifying
a = 0.938047614

Subproblem 2
a + -0.7 = -0.238047614

Simplifying
a + -0.7 = -0.238047614

Reorder the terms:
-0.7 + a = -0.238047614

Solving
-0.7 + a = -0.238047614

Solving for variable 'a'.

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

Add '0.7' to each side of the equation.
-0.7 + 0.7 + a = -0.238047614 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + a = -0.238047614 + 0.7
a = -0.238047614 + 0.7

Combine like terms: -0.238047614 + 0.7 = 0.461952386
a = 0.461952386

Simplifying
a = 0.461952386

Solution
The solution to the problem is based on the solutions
from the subproblems.
a = {0.938047614, 0.461952386}
Solution
a = {0.938047614, 0.461952386}