2X^3+X^2+15X=18X^2

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Solution for 2X^3+X^2+15X=18X^2 equation: 


Simplifying
2X3 + X2 + 15X = 18X2

Reorder the terms:
15X + X2 + 2X3 = 18X2

Solving
15X + X2 + 2X3 = 18X2

Solving for variable 'X'.

Reorder the terms:
15X + X2 + -18X2 + 2X3 = 18X2 + -18X2

Combine like terms: X2 + -18X2 = -17X2
15X + -17X2 + 2X3 = 18X2 + -18X2

Combine like terms: 18X2 + -18X2 = 0
15X + -17X2 + 2X3 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(15 + -17X + 2X2) = 0

Factor a trinomial.
X((1 + -1X)(15 + -2X)) = 0


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 '(1 + -1X)' equal to zero and attempt to solve:

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

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

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

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

Simplifying
X = 1

Subproblem 3
Set the factor '(15 + -2X)' equal to zero and attempt to solve:

Simplifying
15 + -2X = 0

Solving
15 + -2X = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2X = 0 + -15
-2X = 0 + -15

Combine like terms: 0 + -15 = -15
-2X = -15

Divide each side by '-2'.
X = 7.5

Simplifying
X = 7.5
Solution
X = {0, 1, 7.5}

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