260=x(6+2x)

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Solution for 260=x(6+2x) equation: 


Simplifying
260 = x(6 + 2x)
260 = (6 * x + 2x * x)
260 = (6x + 2x2)

Solving
260 = 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
260 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
260 + -6x + -2x2 = 0 + 2x2 + -2x2
260 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
260 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(130 + -3x + -1x2) = 0

Factor a trinomial.
2((10 + -1x)(13 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

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

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

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

Simplifying
x = -13
Solution
x = {10, -13}

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