(X^2+8x+16)*(5x+9)=

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Solution for (X^2+8x+16)*(5x+9)= equation: 


Simplifying
(X2 + 8x + 16)(5x + 9) = 0

Reorder the terms:
(16 + X2 + 8x)(5x + 9) = 0

Reorder the terms:
(16 + X2 + 8x)(9 + 5x) = 0

Multiply (16 + X2 + 8x) * (9 + 5x)
(16(9 + 5x) + X2(9 + 5x) + 8x * (9 + 5x)) = 0
((9 * 16 + 5x * 16) + X2(9 + 5x) + 8x * (9 + 5x)) = 0
((144 + 80x) + X2(9 + 5x) + 8x * (9 + 5x)) = 0
(144 + 80x + (9 * X2 + 5x * X2) + 8x * (9 + 5x)) = 0
(144 + 80x + (9X2 + 5xX2) + 8x * (9 + 5x)) = 0
(144 + 80x + 9X2 + 5xX2 + (9 * 8x + 5x * 8x)) = 0
(144 + 80x + 9X2 + 5xX2 + (72x + 40x2)) = 0

Reorder the terms:
(144 + 9X2 + 80x + 72x + 5xX2 + 40x2) = 0

Combine like terms: 80x + 72x = 152x
(144 + 9X2 + 152x + 5xX2 + 40x2) = 0

Solving
144 + 9X2 + 152x + 5xX2 + 40x2 = 0

Solving for variable 'X'.

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

Add '-144' to each side of the equation.
144 + 9X2 + 152x + 5xX2 + -144 + 40x2 = 0 + -144

Reorder the terms:
144 + -144 + 9X2 + 152x + 5xX2 + 40x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + 9X2 + 152x + 5xX2 + 40x2 = 0 + -144
9X2 + 152x + 5xX2 + 40x2 = 0 + -144

Combine like terms: 0 + -144 = -144
9X2 + 152x + 5xX2 + 40x2 = -144

Add '-152x' to each side of the equation.
9X2 + 152x + 5xX2 + -152x + 40x2 = -144 + -152x

Reorder the terms:
9X2 + 152x + -152x + 5xX2 + 40x2 = -144 + -152x

Combine like terms: 152x + -152x = 0
9X2 + 0 + 5xX2 + 40x2 = -144 + -152x
9X2 + 5xX2 + 40x2 = -144 + -152x

Add '-40x2' to each side of the equation.
9X2 + 5xX2 + 40x2 + -40x2 = -144 + -152x + -40x2

Combine like terms: 40x2 + -40x2 = 0
9X2 + 5xX2 + 0 = -144 + -152x + -40x2
9X2 + 5xX2 = -144 + -152x + -40x2

Reorder the terms:
144 + 9X2 + 152x + 5xX2 + 40x2 = -144 + -152x + -40x2 + 144 + 152x + 40x2

Reorder the terms:
144 + 9X2 + 152x + 5xX2 + 40x2 = -144 + 144 + -152x + 152x + -40x2 + 40x2

Combine like terms: -144 + 144 = 0
144 + 9X2 + 152x + 5xX2 + 40x2 = 0 + -152x + 152x + -40x2 + 40x2
144 + 9X2 + 152x + 5xX2 + 40x2 = -152x + 152x + -40x2 + 40x2

Combine like terms: -152x + 152x = 0
144 + 9X2 + 152x + 5xX2 + 40x2 = 0 + -40x2 + 40x2
144 + 9X2 + 152x + 5xX2 + 40x2 = -40x2 + 40x2

Combine like terms: -40x2 + 40x2 = 0
144 + 9X2 + 152x + 5xX2 + 40x2 = 0

The solution to this equation could not be determined.

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