(5x^2-3x+7x)+(9x^2+2x^2+7x)=0

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Solution for (5x^2-3x+7x)+(9x^2+2x^2+7x)=0 equation: 


Simplifying
(5x2 + -3x + 7x) + (9x2 + 2x2 + 7x) = 0

Reorder the terms:
(-3x + 7x + 5x2) + (9x2 + 2x2 + 7x) = 0

Combine like terms: -3x + 7x = 4x
(4x + 5x2) + (9x2 + 2x2 + 7x) = 0

Remove parenthesis around (4x + 5x2)
4x + 5x2 + (9x2 + 2x2 + 7x) = 0

Reorder the terms:
4x + 5x2 + (7x + 9x2 + 2x2) = 0

Combine like terms: 9x2 + 2x2 = 11x2
4x + 5x2 + (7x + 11x2) = 0

Remove parenthesis around (7x + 11x2)
4x + 5x2 + 7x + 11x2 = 0

Reorder the terms:
4x + 7x + 5x2 + 11x2 = 0

Combine like terms: 4x + 7x = 11x
11x + 5x2 + 11x2 = 0

Combine like terms: 5x2 + 11x2 = 16x2
11x + 16x2 = 0

Solving
11x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 16x) = 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 '(11 + 16x)' equal to zero and attempt to solve:

Simplifying
11 + 16x = 0

Solving
11 + 16x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 16x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 16x = 0 + -11
16x = 0 + -11

Combine like terms: 0 + -11 = -11
16x = -11

Divide each side by '16'.
x = -0.6875

Simplifying
x = -0.6875
Solution
x = {0, -0.6875}

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