3x^2-10x-28=-2x

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Solution for 3x^2-10x-28=-2x equation: 


Simplifying
3x2 + -10x + -28 = -2x

Reorder the terms:
-28 + -10x + 3x2 = -2x

Solving
-28 + -10x + 3x2 = -2x

Solving for variable 'x'.

Reorder the terms:
-28 + -10x + 2x + 3x2 = -2x + 2x

Combine like terms: -10x + 2x = -8x
-28 + -8x + 3x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-28 + -8x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(14 + -3x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve:

Simplifying
14 + -3x = 0

Solving
14 + -3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 0 + -14
-3x = 0 + -14

Combine like terms: 0 + -14 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667
Solution
x = {-2, 4.666666667}

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