3x^2-2x=-19x-10

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Solution for 3x^2-2x=-19x-10 equation: 


Simplifying
3x2 + -2x = -19x + -10

Reorder the terms:
-2x + 3x2 = -19x + -10

Reorder the terms:
-2x + 3x2 = -10 + -19x

Solving
-2x + 3x2 = -10 + -19x

Solving for variable 'x'.

Reorder the terms:
10 + -2x + 19x + 3x2 = -10 + -19x + 10 + 19x

Combine like terms: -2x + 19x = 17x
10 + 17x + 3x2 = -10 + -19x + 10 + 19x

Reorder the terms:
10 + 17x + 3x2 = -10 + 10 + -19x + 19x

Combine like terms: -10 + 10 = 0
10 + 17x + 3x2 = 0 + -19x + 19x
10 + 17x + 3x2 = -19x + 19x

Combine like terms: -19x + 19x = 0
10 + 17x + 3x2 = 0

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


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

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-5, -0.6666666667}

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