6x^2+30=5-3x^2-30x

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Solution for 6x^2+30=5-3x^2-30x equation: 


Simplifying
6x2 + 30 = 5 + -3x2 + -30x

Reorder the terms:
30 + 6x2 = 5 + -3x2 + -30x

Reorder the terms:
30 + 6x2 = 5 + -30x + -3x2

Solving
30 + 6x2 = 5 + -30x + -3x2

Solving for variable 'x'.

Reorder the terms:
30 + -5 + 30x + 6x2 + 3x2 = 5 + -30x + -3x2 + -5 + 30x + 3x2

Combine like terms: 30 + -5 = 25
25 + 30x + 6x2 + 3x2 = 5 + -30x + -3x2 + -5 + 30x + 3x2

Combine like terms: 6x2 + 3x2 = 9x2
25 + 30x + 9x2 = 5 + -30x + -3x2 + -5 + 30x + 3x2

Reorder the terms:
25 + 30x + 9x2 = 5 + -5 + -30x + 30x + -3x2 + 3x2

Combine like terms: 5 + -5 = 0
25 + 30x + 9x2 = 0 + -30x + 30x + -3x2 + 3x2
25 + 30x + 9x2 = -30x + 30x + -3x2 + 3x2

Combine like terms: -30x + 30x = 0
25 + 30x + 9x2 = 0 + -3x2 + 3x2
25 + 30x + 9x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
25 + 30x + 9x2 = 0

Factor a trinomial.
(5 + 3x)(5 + 3x) = 0


Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-1.666666667, -1.666666667}

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