2x+10x(6x+5)=

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Solution for 2x+10x(6x+5)= equation: 


Simplifying
2x + 10x(6x + 5) = 0

Reorder the terms:
2x + 10x(5 + 6x) = 0
2x + (5 * 10x + 6x * 10x) = 0
2x + (50x + 60x2) = 0

Combine like terms: 2x + 50x = 52x
52x + 60x2 = 0

Solving
52x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(13 + 15x) = 0

Ignore the factor 4.

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 + 15x)' equal to zero and attempt to solve:

Simplifying
13 + 15x = 0

Solving
13 + 15x = 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 + 15x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 15x = 0 + -13
15x = 0 + -13

Combine like terms: 0 + -13 = -13
15x = -13

Divide each side by '15'.
x = -0.8666666667

Simplifying
x = -0.8666666667
Solution
x = {0, -0.8666666667}

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