6x^2+80x-550=0

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Solution for 6x^2+80x-550=0 equation:


Simplifying
6x2 + 80x + -550 = 0

Reorder the terms:
-550 + 80x + 6x2 = 0

Solving
-550 + 80x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-275 + 40x + 3x2) = 0

Factor a trinomial.
2((-55 + -3x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-55 + -3x)' equal to zero and attempt to solve: Simplifying -55 + -3x = 0 Solving -55 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -3x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -3x = 0 + 55 -3x = 0 + 55 Combine like terms: 0 + 55 = 55 -3x = 55 Divide each side by '-3'. x = -18.33333333 Simplifying x = -18.33333333

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-18.33333333, 5}

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