4x^2+6x^2+20x+16x=

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Solution for 4x^2+6x^2+20x+16x= equation: 


Simplifying
4x2 + 6x2 + 20x + 16x = 0

Reorder the terms:
20x + 16x + 4x2 + 6x2 = 0

Combine like terms: 20x + 16x = 36x
36x + 4x2 + 6x2 = 0

Combine like terms: 4x2 + 6x2 = 10x2
36x + 10x2 = 0

Solving
36x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(18 + 5x) = 0

Ignore the factor 2.

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 '(18 + 5x)' equal to zero and attempt to solve:

Simplifying
18 + 5x = 0

Solving
18 + 5x = 0

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

Add '-18' to each side of the equation.
18 + -18 + 5x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 0 + -18
5x = 0 + -18

Combine like terms: 0 + -18 = -18
5x = -18

Divide each side by '5'.
x = -3.6

Simplifying
x = -3.6
Solution
x = {0, -3.6}

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