9x(4x+8)+x(3x+7)=

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Solution for 9x(4x+8)+x(3x+7)= equation: 


Simplifying
9x(4x + 8) + x(3x + 7) = 0

Reorder the terms:
9x(8 + 4x) + x(3x + 7) = 0
(8 * 9x + 4x * 9x) + x(3x + 7) = 0
(72x + 36x2) + x(3x + 7) = 0

Reorder the terms:
72x + 36x2 + x(7 + 3x) = 0
72x + 36x2 + (7 * x + 3x * x) = 0
72x + 36x2 + (7x + 3x2) = 0

Reorder the terms:
72x + 7x + 36x2 + 3x2 = 0

Combine like terms: 72x + 7x = 79x
79x + 36x2 + 3x2 = 0

Combine like terms: 36x2 + 3x2 = 39x2
79x + 39x2 = 0

Solving
79x + 39x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(79 + 39x) = 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 '(79 + 39x)' equal to zero and attempt to solve:

Simplifying
79 + 39x = 0

Solving
79 + 39x = 0

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

Add '-79' to each side of the equation.
79 + -79 + 39x = 0 + -79

Combine like terms: 79 + -79 = 0
0 + 39x = 0 + -79
39x = 0 + -79

Combine like terms: 0 + -79 = -79
39x = -79

Divide each side by '39'.
x = -2.025641026

Simplifying
x = -2.025641026
Solution
x = {0, -2.025641026}

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