6x(x+5)=2x-22

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Solution for 6x(x+5)=2x-22 equation: 


Simplifying
6x(x + 5) = 2x + -22

Reorder the terms:
6x(5 + x) = 2x + -22
(5 * 6x + x * 6x) = 2x + -22
(30x + 6x2) = 2x + -22

Reorder the terms:
30x + 6x2 = -22 + 2x

Solving
30x + 6x2 = -22 + 2x

Solving for variable 'x'.

Reorder the terms:
22 + 30x + -2x + 6x2 = -22 + 2x + 22 + -2x

Combine like terms: 30x + -2x = 28x
22 + 28x + 6x2 = -22 + 2x + 22 + -2x

Reorder the terms:
22 + 28x + 6x2 = -22 + 22 + 2x + -2x

Combine like terms: -22 + 22 = 0
22 + 28x + 6x2 = 0 + 2x + -2x
22 + 28x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 28x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + 14x + 3x2) = 0

Factor a trinomial.
2((11 + 3x)(1 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 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 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-3.666666667, -1}

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