9x^2+8=22x

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Solution for 9x^2+8=22x equation:


Simplifying
9x2 + 8 = 22x

Reorder the terms:
8 + 9x2 = 22x

Solving
8 + 9x2 = 22x

Solving for variable 'x'.

Reorder the terms:
8 + -22x + 9x2 = 22x + -22x

Combine like terms: 22x + -22x = 0
8 + -22x + 9x2 = 0

Factor a trinomial.
(4 + -9x)(2 + -1x) = 0

Subproblem 1

Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 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 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0.4444444444, 2}

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