5x^2+9x=1106

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Solution for 5x^2+9x=1106 equation:


Simplifying
5x2 + 9x = 1106

Reorder the terms:
9x + 5x2 = 1106

Solving
9x + 5x2 = 1106

Solving for variable 'x'.

Reorder the terms:
-1106 + 9x + 5x2 = 1106 + -1106

Combine like terms: 1106 + -1106 = 0
-1106 + 9x + 5x2 = 0

Factor a trinomial.
(-79 + -5x)(14 + -1x) = 0

Subproblem 1

Set the factor '(-79 + -5x)' equal to zero and attempt to solve: Simplifying -79 + -5x = 0 Solving -79 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + -5x = 0 + 79 Combine like terms: -79 + 79 = 0 0 + -5x = 0 + 79 -5x = 0 + 79 Combine like terms: 0 + 79 = 79 -5x = 79 Divide each side by '-5'. x = -15.8 Simplifying x = -15.8

Subproblem 2

Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 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 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14

Solution

x = {-15.8, 14}

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