3x^2-6x-10=3x+2

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Solution for 3x^2-6x-10=3x+2 equation: 


Simplifying
3x2 + -6x + -10 = 3x + 2

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

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

Solving
-10 + -6x + 3x2 = 2 + 3x

Solving for variable 'x'.

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

Combine like terms: -10 + -2 = -12
-12 + -6x + -3x + 3x2 = 2 + 3x + -2 + -3x

Combine like terms: -6x + -3x = -9x
-12 + -9x + 3x2 = 2 + 3x + -2 + -3x

Reorder the terms:
-12 + -9x + 3x2 = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
-12 + -9x + 3x2 = 0 + 3x + -3x
-12 + -9x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -9x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + -3x + x2) = 0

Factor a trinomial.
3((-1 + -1x)(4 + -1x)) = 0

Ignore the factor 3.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1, 4}

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