3x^2+10x-8=2x^2+5x-14

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Solution for 3x^2+10x-8=2x^2+5x-14 equation: 


Simplifying
3x2 + 10x + -8 = 2x2 + 5x + -14

Reorder the terms:
-8 + 10x + 3x2 = 2x2 + 5x + -14

Reorder the terms:
-8 + 10x + 3x2 = -14 + 5x + 2x2

Solving
-8 + 10x + 3x2 = -14 + 5x + 2x2

Solving for variable 'x'.

Reorder the terms:
-8 + 14 + 10x + -5x + 3x2 + -2x2 = -14 + 5x + 2x2 + 14 + -5x + -2x2

Combine like terms: -8 + 14 = 6
6 + 10x + -5x + 3x2 + -2x2 = -14 + 5x + 2x2 + 14 + -5x + -2x2

Combine like terms: 10x + -5x = 5x
6 + 5x + 3x2 + -2x2 = -14 + 5x + 2x2 + 14 + -5x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
6 + 5x + 1x2 = -14 + 5x + 2x2 + 14 + -5x + -2x2

Reorder the terms:
6 + 5x + 1x2 = -14 + 14 + 5x + -5x + 2x2 + -2x2

Combine like terms: -14 + 14 = 0
6 + 5x + 1x2 = 0 + 5x + -5x + 2x2 + -2x2
6 + 5x + 1x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
6 + 5x + 1x2 = 0 + 2x2 + -2x2
6 + 5x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + 5x + 1x2 = 0

Factor a trinomial.
(3 + x)(2 + x) = 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 + 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 = {-3, -2}

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