9x^2-90x+29=0

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Solution for 9x^2-90x+29=0 equation: 


Simplifying
9x2 + -90x + 29 = 0

Reorder the terms:
29 + -90x + 9x2 = 0

Solving
29 + -90x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(29 + -3x) = 0


Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(29 + -3x)' equal to zero and attempt to solve:

Simplifying
29 + -3x = 0

Solving
29 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-29' to each side of the equation.
29 + -29 + -3x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = 0 + -29
-3x = 0 + -29

Combine like terms: 0 + -29 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667
Solution
x = {0.3333333333, 9.666666667}

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