8a^2-67a+48=4a-8

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Solution for 8a^2-67a+48=4a-8 equation: 


Simplifying
8a2 + -67a + 48 = 4a + -8

Reorder the terms:
48 + -67a + 8a2 = 4a + -8

Reorder the terms:
48 + -67a + 8a2 = -8 + 4a

Solving
48 + -67a + 8a2 = -8 + 4a

Solving for variable 'a'.

Reorder the terms:
48 + 8 + -67a + -4a + 8a2 = -8 + 4a + 8 + -4a

Combine like terms: 48 + 8 = 56
56 + -67a + -4a + 8a2 = -8 + 4a + 8 + -4a

Combine like terms: -67a + -4a = -71a
56 + -71a + 8a2 = -8 + 4a + 8 + -4a

Reorder the terms:
56 + -71a + 8a2 = -8 + 8 + 4a + -4a

Combine like terms: -8 + 8 = 0
56 + -71a + 8a2 = 0 + 4a + -4a
56 + -71a + 8a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
56 + -71a + 8a2 = 0

Factor a trinomial.
(7 + -8a)(8 + -1a) = 0


Subproblem 1
Set the factor '(7 + -8a)' equal to zero and attempt to solve:

Simplifying
7 + -8a = 0

Solving
7 + -8a = 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 + -8a = 0 + -7

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

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

Divide each side by '-8'.
a = 0.875

Simplifying
a = 0.875

Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 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 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {0.875, 8}

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