6X^2+3X-17=39-38X

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Solution for 6X^2+3X-17=39-38X equation: 


Simplifying
6X2 + 3X + -17 = 39 + -38X

Reorder the terms:
-17 + 3X + 6X2 = 39 + -38X

Solving
-17 + 3X + 6X2 = 39 + -38X

Solving for variable 'X'.

Reorder the terms:
-17 + -39 + 3X + 38X + 6X2 = 39 + -38X + -39 + 38X

Combine like terms: -17 + -39 = -56
-56 + 3X + 38X + 6X2 = 39 + -38X + -39 + 38X

Combine like terms: 3X + 38X = 41X
-56 + 41X + 6X2 = 39 + -38X + -39 + 38X

Reorder the terms:
-56 + 41X + 6X2 = 39 + -39 + -38X + 38X

Combine like terms: 39 + -39 = 0
-56 + 41X + 6X2 = 0 + -38X + 38X
-56 + 41X + 6X2 = -38X + 38X

Combine like terms: -38X + 38X = 0
-56 + 41X + 6X2 = 0

Factor a trinomial.
(-8 + -1X)(7 + -6X) = 0


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

Simplifying
-8 + -1X = 0

Solving
-8 + -1X = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1X = 0 + 8

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

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

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

Simplifying
X = -8

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

Simplifying
7 + -6X = 0

Solving
7 + -6X = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6X = 0 + -7

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

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

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

Simplifying
X = 1.166666667
Solution
X = {-8, 1.166666667}

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