(6x^2+20x-544)=0

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Solution for (6x^2+20x-544)=0 equation:


Simplifying
(6x2 + 20x + -544) = 0

Reorder the terms:
(-544 + 20x + 6x2) = 0

Remove parenthesis around (-544 + 20x + 6x2)
-544 + 20x + 6x2 = 0

Solving
-544 + 20x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-272 + 10x + 3x2) = 0

Factor a trinomial.
2((-34 + -3x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-34 + -3x)' equal to zero and attempt to solve: Simplifying -34 + -3x = 0 Solving -34 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -3x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -3x = 0 + 34 -3x = 0 + 34 Combine like terms: 0 + 34 = 34 -3x = 34 Divide each side by '-3'. x = -11.33333333 Simplifying x = -11.33333333

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-11.33333333, 8}

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