x(x+4)+x(3x+5)=

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Solution for x(x+4)+x(3x+5)= equation: 


Simplifying
x(x + 4) + x(3x + 5) = 0

Reorder the terms:
x(4 + x) + x(3x + 5) = 0
(4 * x + x * x) + x(3x + 5) = 0
(4x + x2) + x(3x + 5) = 0

Reorder the terms:
4x + x2 + x(5 + 3x) = 0
4x + x2 + (5 * x + 3x * x) = 0
4x + x2 + (5x + 3x2) = 0

Reorder the terms:
4x + 5x + x2 + 3x2 = 0

Combine like terms: 4x + 5x = 9x
9x + x2 + 3x2 = 0

Combine like terms: x2 + 3x2 = 4x2
9x + 4x2 = 0

Solving
9x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 4x) = 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 '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 0

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

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

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {0, -2.25}

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