X^2(4x+1)-9(4x+1)=0

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Solution for X^2(4x+1)-9(4x+1)=0 equation: 


Simplifying
X2(4x + 1) + -9(4x + 1) = 0

Reorder the terms:
X2(1 + 4x) + -9(4x + 1) = 0
(1 * X2 + 4x * X2) + -9(4x + 1) = 0
(1X2 + 4xX2) + -9(4x + 1) = 0

Reorder the terms:
1X2 + 4xX2 + -9(1 + 4x) = 0
1X2 + 4xX2 + (1 * -9 + 4x * -9) = 0
1X2 + 4xX2 + (-9 + -36x) = 0

Reorder the terms:
-9 + 1X2 + -36x + 4xX2 = 0

Solving
-9 + 1X2 + -36x + 4xX2 = 0

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + 1X2 + -36x + 9 + 4xX2 = 0 + 9

Reorder the terms:
-9 + 9 + 1X2 + -36x + 4xX2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 1X2 + -36x + 4xX2 = 0 + 9
1X2 + -36x + 4xX2 = 0 + 9

Combine like terms: 0 + 9 = 9
1X2 + -36x + 4xX2 = 9

Add '36x' to each side of the equation.
1X2 + -36x + 36x + 4xX2 = 9 + 36x

Combine like terms: -36x + 36x = 0
1X2 + 0 + 4xX2 = 9 + 36x
1X2 + 4xX2 = 9 + 36x

Reorder the terms:
-9 + 1X2 + -36x + 4xX2 = 9 + 36x + -9 + -36x

Reorder the terms:
-9 + 1X2 + -36x + 4xX2 = 9 + -9 + 36x + -36x

Combine like terms: 9 + -9 = 0
-9 + 1X2 + -36x + 4xX2 = 0 + 36x + -36x
-9 + 1X2 + -36x + 4xX2 = 36x + -36x

Combine like terms: 36x + -36x = 0
-9 + 1X2 + -36x + 4xX2 = 0

The solution to this equation could not be determined.

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