3x^2-17x=-24

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Solution for 3x^2-17x=-24 equation:


Simplifying
3x2 + -17x = -24

Reorder the terms:
-17x + 3x2 = -24

Solving
-17x + 3x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + -17x + 3x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -17x + 3x2 = 0

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

Subproblem 1

Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {2.666666667, 3}

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