(-15x^2-5x+9)+(-6x^2-19x-16)+(-15x^2-14x-13)+(9x^2-14x+20)=

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Solution for (-15x^2-5x+9)+(-6x^2-19x-16)+(-15x^2-14x-13)+(9x^2-14x+20)= equation: 


Simplifying
(-15x2 + -5x + 9) + (-6x2 + -19x + -16) + (-15x2 + -14x + -13) + (9x2 + -14x + 20) = 0

Reorder the terms:
(9 + -5x + -15x2) + (-6x2 + -19x + -16) + (-15x2 + -14x + -13) + (9x2 + -14x + 20) = 0

Remove parenthesis around (9 + -5x + -15x2)
9 + -5x + -15x2 + (-6x2 + -19x + -16) + (-15x2 + -14x + -13) + (9x2 + -14x + 20) = 0

Reorder the terms:
9 + -5x + -15x2 + (-16 + -19x + -6x2) + (-15x2 + -14x + -13) + (9x2 + -14x + 20) = 0

Remove parenthesis around (-16 + -19x + -6x2)
9 + -5x + -15x2 + -16 + -19x + -6x2 + (-15x2 + -14x + -13) + (9x2 + -14x + 20) = 0

Reorder the terms:
9 + -5x + -15x2 + -16 + -19x + -6x2 + (-13 + -14x + -15x2) + (9x2 + -14x + 20) = 0

Remove parenthesis around (-13 + -14x + -15x2)
9 + -5x + -15x2 + -16 + -19x + -6x2 + -13 + -14x + -15x2 + (9x2 + -14x + 20) = 0

Reorder the terms:
9 + -5x + -15x2 + -16 + -19x + -6x2 + -13 + -14x + -15x2 + (20 + -14x + 9x2) = 0

Remove parenthesis around (20 + -14x + 9x2)
9 + -5x + -15x2 + -16 + -19x + -6x2 + -13 + -14x + -15x2 + 20 + -14x + 9x2 = 0

Reorder the terms:
9 + -16 + -13 + 20 + -5x + -19x + -14x + -14x + -15x2 + -6x2 + -15x2 + 9x2 = 0

Combine like terms: 9 + -16 = -7
-7 + -13 + 20 + -5x + -19x + -14x + -14x + -15x2 + -6x2 + -15x2 + 9x2 = 0

Combine like terms: -7 + -13 = -20
-20 + 20 + -5x + -19x + -14x + -14x + -15x2 + -6x2 + -15x2 + 9x2 = 0

Combine like terms: -20 + 20 = 0
0 + -5x + -19x + -14x + -14x + -15x2 + -6x2 + -15x2 + 9x2 = 0
-5x + -19x + -14x + -14x + -15x2 + -6x2 + -15x2 + 9x2 = 0

Combine like terms: -5x + -19x = -24x
-24x + -14x + -14x + -15x2 + -6x2 + -15x2 + 9x2 = 0

Combine like terms: -24x + -14x = -38x
-38x + -14x + -15x2 + -6x2 + -15x2 + 9x2 = 0

Combine like terms: -38x + -14x = -52x
-52x + -15x2 + -6x2 + -15x2 + 9x2 = 0

Combine like terms: -15x2 + -6x2 = -21x2
-52x + -21x2 + -15x2 + 9x2 = 0

Combine like terms: -21x2 + -15x2 = -36x2
-52x + -36x2 + 9x2 = 0

Combine like terms: -36x2 + 9x2 = -27x2
-52x + -27x2 = 0

Solving
-52x + -27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(52 + 27x) = 0

Ignore the factor -1.

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 '(52 + 27x)' equal to zero and attempt to solve:

Simplifying
52 + 27x = 0

Solving
52 + 27x = 0

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

Add '-52' to each side of the equation.
52 + -52 + 27x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 27x = 0 + -52
27x = 0 + -52

Combine like terms: 0 + -52 = -52
27x = -52

Divide each side by '27'.
x = -1.925925926

Simplifying
x = -1.925925926
Solution
x = {0, -1.925925926}

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