43a^2-25a=-4a+40-6a^2

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Solution for 43a^2-25a=-4a+40-6a^2 equation: 


Simplifying
43a2 + -25a = -4a + 40 + -6a2

Reorder the terms:
-25a + 43a2 = -4a + 40 + -6a2

Reorder the terms:
-25a + 43a2 = 40 + -4a + -6a2

Solving
-25a + 43a2 = 40 + -4a + -6a2

Solving for variable 'a'.

Reorder the terms:
-40 + -25a + 4a + 43a2 + 6a2 = 40 + -4a + -6a2 + -40 + 4a + 6a2

Combine like terms: -25a + 4a = -21a
-40 + -21a + 43a2 + 6a2 = 40 + -4a + -6a2 + -40 + 4a + 6a2

Combine like terms: 43a2 + 6a2 = 49a2
-40 + -21a + 49a2 = 40 + -4a + -6a2 + -40 + 4a + 6a2

Reorder the terms:
-40 + -21a + 49a2 = 40 + -40 + -4a + 4a + -6a2 + 6a2

Combine like terms: 40 + -40 = 0
-40 + -21a + 49a2 = 0 + -4a + 4a + -6a2 + 6a2
-40 + -21a + 49a2 = -4a + 4a + -6a2 + 6a2

Combine like terms: -4a + 4a = 0
-40 + -21a + 49a2 = 0 + -6a2 + 6a2
-40 + -21a + 49a2 = -6a2 + 6a2

Combine like terms: -6a2 + 6a2 = 0
-40 + -21a + 49a2 = 0

Factor a trinomial.
(-5 + -7a)(8 + -7a) = 0


Subproblem 1
Set the factor '(-5 + -7a)' equal to zero and attempt to solve:

Simplifying
-5 + -7a = 0

Solving
-5 + -7a = 0

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

Add '5' to each side of the equation.
-5 + 5 + -7a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7a = 0 + 5
-7a = 0 + 5

Combine like terms: 0 + 5 = 5
-7a = 5

Divide each side by '-7'.
a = -0.7142857143

Simplifying
a = -0.7142857143

Subproblem 2
Set the factor '(8 + -7a)' equal to zero and attempt to solve:

Simplifying
8 + -7a = 0

Solving
8 + -7a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7a = 0 + -8
-7a = 0 + -8

Combine like terms: 0 + -8 = -8
-7a = -8

Divide each side by '-7'.
a = 1.142857143

Simplifying
a = 1.142857143
Solution
a = {-0.7142857143, 1.142857143}

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