-3x^2-17x+20=0

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Solution for -3x^2-17x+20=0 equation:


Simplifying
-3x2 + -17x + 20 = 0

Reorder the terms:
20 + -17x + -3x2 = 0

Solving
20 + -17x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(20 + 3x) = 0

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 '(20 + 3x)' equal to zero and attempt to solve: Simplifying 20 + 3x = 0 Solving 20 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 0 + -20 3x = 0 + -20 Combine like terms: 0 + -20 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667

Solution

x = {1, -6.666666667}

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