5x^2-44x=9

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Solution for 5x^2-44x=9 equation:


Simplifying
5x2 + -44x = 9

Reorder the terms:
-44x + 5x2 = 9

Solving
-44x + 5x2 = 9

Solving for variable 'x'.

Reorder the terms:
-9 + -44x + 5x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -44x + 5x2 = 0

Factor a trinomial.
(-1 + -5x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-0.2, 9}

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