(9X^2-7X-5)=(-5+9X+15X^2)

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Solution for (9X^2-7X-5)=(-5+9X+15X^2) equation: 


Simplifying
(9X2 + -7X + -5) = (-5 + 9X + 15X2)

Reorder the terms:
(-5 + -7X + 9X2) = (-5 + 9X + 15X2)

Remove parenthesis around (-5 + -7X + 9X2)
-5 + -7X + 9X2 = (-5 + 9X + 15X2)

Remove parenthesis around (-5 + 9X + 15X2)
-5 + -7X + 9X2 = -5 + 9X + 15X2

Add '5' to each side of the equation.
-5 + -7X + 5 + 9X2 = -5 + 9X + 5 + 15X2

Reorder the terms:
-5 + 5 + -7X + 9X2 = -5 + 9X + 5 + 15X2

Combine like terms: -5 + 5 = 0
0 + -7X + 9X2 = -5 + 9X + 5 + 15X2
-7X + 9X2 = -5 + 9X + 5 + 15X2

Reorder the terms:
-7X + 9X2 = -5 + 5 + 9X + 15X2

Combine like terms: -5 + 5 = 0
-7X + 9X2 = 0 + 9X + 15X2
-7X + 9X2 = 9X + 15X2

Solving
-7X + 9X2 = 9X + 15X2

Solving for variable 'X'.

Reorder the terms:
-7X + -9X + 9X2 + -15X2 = 9X + 15X2 + -9X + -15X2

Combine like terms: -7X + -9X = -16X
-16X + 9X2 + -15X2 = 9X + 15X2 + -9X + -15X2

Combine like terms: 9X2 + -15X2 = -6X2
-16X + -6X2 = 9X + 15X2 + -9X + -15X2

Reorder the terms:
-16X + -6X2 = 9X + -9X + 15X2 + -15X2

Combine like terms: 9X + -9X = 0
-16X + -6X2 = 0 + 15X2 + -15X2
-16X + -6X2 = 15X2 + -15X2

Combine like terms: 15X2 + -15X2 = 0
-16X + -6X2 = 0

Factor out the Greatest Common Factor (GCF), '-2X'.
-2X(8 + 3X) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(8 + 3X)' equal to zero and attempt to solve:

Simplifying
8 + 3X = 0

Solving
8 + 3X = 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 + 3X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3X = 0 + -8
3X = 0 + -8

Combine like terms: 0 + -8 = -8
3X = -8

Divide each side by '3'.
X = -2.666666667

Simplifying
X = -2.666666667
Solution
X = {0, -2.666666667}

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