10=6x^2-3x-20

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Solution for 10=6x^2-3x-20 equation: 


Simplifying
10 = 6x2 + -3x + -20

Reorder the terms:
10 = -20 + -3x + 6x2

Solving
10 = -20 + -3x + 6x2

Solving for variable 'x'.

Combine like terms: 10 + 20 = 30
30 + 3x + -6x2 = -20 + -3x + 6x2 + 20 + 3x + -6x2

Reorder the terms:
30 + 3x + -6x2 = -20 + 20 + -3x + 3x + 6x2 + -6x2

Combine like terms: -20 + 20 = 0
30 + 3x + -6x2 = 0 + -3x + 3x + 6x2 + -6x2
30 + 3x + -6x2 = -3x + 3x + 6x2 + -6x2

Combine like terms: -3x + 3x = 0
30 + 3x + -6x2 = 0 + 6x2 + -6x2
30 + 3x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
30 + 3x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + x + -2x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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 = {2.5, -2}

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