9x^2-6x+1=144

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Solution for 9x^2-6x+1=144 equation: 


Simplifying
9x2 + -6x + 1 = 144

Reorder the terms:
1 + -6x + 9x2 = 144

Solving
1 + -6x + 9x2 = 144

Solving for variable 'x'.

Reorder the terms:
1 + -144 + -6x + 9x2 = 144 + -144

Combine like terms: 1 + -144 = -143
-143 + -6x + 9x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-143 + -6x + 9x2 = 0

Factor a trinomial.
(-11 + -3x)(13 + -3x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(13 + -3x)' equal to zero and attempt to solve:

Simplifying
13 + -3x = 0

Solving
13 + -3x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 0 + -13
-3x = 0 + -13

Combine like terms: 0 + -13 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333
Solution
x = {-3.666666667, 4.333333333}

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