-(9x^2-12x+4)=0

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


Simplifying
-1(9x2 + -12x + 4) = 0

Reorder the terms:
-1(4 + -12x + 9x2) = 0
(4 * -1 + -12x * -1 + 9x2 * -1) = 0
(-4 + 12x + -9x2) = 0

Solving
-4 + 12x + -9x2 = 0

Solving for variable 'x'.

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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