3x^2-38x+112=0

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Solution for 3x^2-38x+112=0 equation:


Simplifying
3x2 + -38x + 112 = 0

Reorder the terms:
112 + -38x + 3x2 = 0

Solving
112 + -38x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(14 + -3x)(8 + -1x) = 0

Subproblem 1

Set the factor '(14 + -3x)' equal to zero and attempt to solve: Simplifying 14 + -3x = 0 Solving 14 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 0 + -14 -3x = 0 + -14 Combine like terms: 0 + -14 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667

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 = {4.666666667, 8}

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