(3x*x)+13x-4=-10+2x

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Solution for (3x*x)+13x-4=-10+2x equation: 


Simplifying
(3x * x) + 13x + -4 = -10 + 2x

Multiply x * x
(3x2) + 13x + -4 = -10 + 2x

Reorder the terms:
-4 + 13x + (3x2) = -10 + 2x

Solving
-4 + 13x + (3x2) = -10 + 2x

Solving for variable 'x'.

Reorder the terms:
-4 + 10 + 13x + -2x + (3x2) = -10 + 2x + 10 + -2x

Combine like terms: -4 + 10 = 6
6 + 13x + -2x + (3x2) = -10 + 2x + 10 + -2x

Combine like terms: 13x + -2x = 11x
6 + 11x + (3x2) = -10 + 2x + 10 + -2x

Reorder the terms:
6 + 11x + (3x2) = -10 + 10 + 2x + -2x

Combine like terms: -10 + 10 = 0
6 + 11x + (3x2) = 0 + 2x + -2x
6 + 11x + (3x2) = 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 11x + (3x2) = 0

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


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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3

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 = {-3, -0.6666666667}

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