3x^2+9x+x+3+4x^2+8x+8x+16-19=0

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Solution for 3x^2+9x+x+3+4x^2+8x+8x+16-19=0 equation: 


Simplifying
3x2 + 9x + x + 3 + 4x2 + 8x + 8x + 16 + -19 = 0

Reorder the terms:
3 + 16 + -19 + 9x + x + 8x + 8x + 3x2 + 4x2 = 0

Combine like terms: 3 + 16 = 19
19 + -19 + 9x + x + 8x + 8x + 3x2 + 4x2 = 0

Combine like terms: 19 + -19 = 0
0 + 9x + x + 8x + 8x + 3x2 + 4x2 = 0
9x + x + 8x + 8x + 3x2 + 4x2 = 0

Combine like terms: 9x + x = 10x
10x + 8x + 8x + 3x2 + 4x2 = 0

Combine like terms: 10x + 8x = 18x
18x + 8x + 3x2 + 4x2 = 0

Combine like terms: 18x + 8x = 26x
26x + 3x2 + 4x2 = 0

Combine like terms: 3x2 + 4x2 = 7x2
26x + 7x2 = 0

Solving
26x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(26 + 7x) = 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 '(26 + 7x)' equal to zero and attempt to solve:

Simplifying
26 + 7x = 0

Solving
26 + 7x = 0

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

Add '-26' to each side of the equation.
26 + -26 + 7x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 7x = 0 + -26
7x = 0 + -26

Combine like terms: 0 + -26 = -26
7x = -26

Divide each side by '7'.
x = -3.714285714

Simplifying
x = -3.714285714
Solution
x = {0, -3.714285714}

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