14=x^2-13x+44

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Solution for 14=x^2-13x+44 equation:


Simplifying
14 = x2 + -13x + 44

Reorder the terms:
14 = 44 + -13x + x2

Solving
14 = 44 + -13x + x2

Solving for variable 'x'.

Combine like terms: 14 + -44 = -30
-30 + 13x + -1x2 = 44 + -13x + x2 + -44 + 13x + -1x2

Reorder the terms:
-30 + 13x + -1x2 = 44 + -44 + -13x + 13x + x2 + -1x2

Combine like terms: 44 + -44 = 0
-30 + 13x + -1x2 = 0 + -13x + 13x + x2 + -1x2
-30 + 13x + -1x2 = -13x + 13x + x2 + -1x2

Combine like terms: -13x + 13x = 0
-30 + 13x + -1x2 = 0 + x2 + -1x2
-30 + 13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + 13x + -1x2 = 0

Factor a trinomial.
(-10 + x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10

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 = {10, 3}

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