-3x^2+47x-184=0

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Solution for -3x^2+47x-184=0 equation:


Simplifying
-3x2 + 47x + -184 = 0

Reorder the terms:
-184 + 47x + -3x2 = 0

Solving
-184 + 47x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + x)(23 + -3x) = 0

Subproblem 1

Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(23 + -3x)' equal to zero and attempt to solve: Simplifying 23 + -3x = 0 Solving 23 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 0 + -23 -3x = 0 + -23 Combine like terms: 0 + -23 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667

Solution

x = {8, 7.666666667}

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