3x^2-x=44

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Solution for 3x^2-x=44 equation:


Simplifying
3x2 + -1x = 44

Reorder the terms:
-1x + 3x2 = 44

Solving
-1x + 3x2 = 44

Solving for variable 'x'.

Reorder the terms:
-44 + -1x + 3x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + -1x + 3x2 = 0

Factor a trinomial.
(-11 + -3x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-3.666666667, 4}

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