0=2x^2+6x-756

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Solution for 0=2x^2+6x-756 equation: 


Simplifying
0 = 2x2 + 6x + -756

Reorder the terms:
0 = -756 + 6x + 2x2

Solving
0 = -756 + 6x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 756 = 756
756 + -6x + -2x2 = -756 + 6x + 2x2 + 756 + -6x + -2x2

Reorder the terms:
756 + -6x + -2x2 = -756 + 756 + 6x + -6x + 2x2 + -2x2

Combine like terms: -756 + 756 = 0
756 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
756 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
756 + -6x + -2x2 = 0 + 2x2 + -2x2
756 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
756 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(378 + -3x + -1x2) = 0

Factor a trinomial.
2((18 + -1x)(21 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {18, -21}

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