x(x+30)=3x-50

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Solution for x(x+30)=3x-50 equation: 


Simplifying
x(x + 30) = 3x + -50

Reorder the terms:
x(30 + x) = 3x + -50
(30 * x + x * x) = 3x + -50
(30x + x2) = 3x + -50

Reorder the terms:
30x + x2 = -50 + 3x

Solving
30x + x2 = -50 + 3x

Solving for variable 'x'.

Reorder the terms:
50 + 30x + -3x + x2 = -50 + 3x + 50 + -3x

Combine like terms: 30x + -3x = 27x
50 + 27x + x2 = -50 + 3x + 50 + -3x

Reorder the terms:
50 + 27x + x2 = -50 + 50 + 3x + -3x

Combine like terms: -50 + 50 = 0
50 + 27x + x2 = 0 + 3x + -3x
50 + 27x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
50 + 27x + x2 = 0

Factor a trinomial.
(25 + x)(2 + x) = 0


Subproblem 1
Set the factor '(25 + x)' equal to zero and attempt to solve:

Simplifying
25 + x = 0

Solving
25 + x = 0

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

Add '-25' to each side of the equation.
25 + -25 + x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + x = 0 + -25
x = 0 + -25

Combine like terms: 0 + -25 = -25
x = -25

Simplifying
x = -25

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-25, -2}

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