-4x^2-16x-10x=0

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Solution for -4x^2-16x-10x=0 equation: 


Simplifying
-4x2 + -16x + -10x = 0

Reorder the terms:
-16x + -10x + -4x2 = 0

Combine like terms: -16x + -10x = -26x
-26x + -4x2 = 0

Solving
-26x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(13 + 2x) = 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 '(13 + 2x)' equal to zero and attempt to solve:

Simplifying
13 + 2x = 0

Solving
13 + 2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5
Solution
x = {0, -6.5}

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