0=9x^2-12x+4

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Solution for 0=9x^2-12x+4 equation:


Simplifying
0 = 9x2 + -12x + 4

Reorder the terms:
0 = 4 + -12x + 9x2

Solving
0 = 4 + -12x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 12x + -9x2 = 4 + -12x + 9x2 + -4 + 12x + -9x2

Reorder the terms:
-4 + 12x + -9x2 = 4 + -4 + -12x + 12x + 9x2 + -9x2

Combine like terms: 4 + -4 = 0
-4 + 12x + -9x2 = 0 + -12x + 12x + 9x2 + -9x2
-4 + 12x + -9x2 = -12x + 12x + 9x2 + -9x2

Combine like terms: -12x + 12x = 0
-4 + 12x + -9x2 = 0 + 9x2 + -9x2
-4 + 12x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-4 + 12x + -9x2 = 0

Factor a trinomial.
(-2 + 3x)(2 + -3x) = 0

Subproblem 1

Set the factor '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 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 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {0.6666666667, 0.6666666667}

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