x(3x+22)=80

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Solution for x(3x+22)=80 equation: 


Simplifying
x(3x + 22) = 80

Reorder the terms:
x(22 + 3x) = 80
(22 * x + 3x * x) = 80
(22x + 3x2) = 80

Solving
22x + 3x2 = 80

Solving for variable 'x'.

Reorder the terms:
-80 + 22x + 3x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 22x + 3x2 = 0

Factor a trinomial.
(-10 + -1x)(8 + -3x) = 0


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 '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-10, 2.666666667}

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