0=3x^2-8x+4

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Solution for 0=3x^2-8x+4 equation:


Simplifying
0 = 3x2 + -8x + 4

Reorder the terms:
0 = 4 + -8x + 3x2

Solving
0 = 4 + -8x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 8x + -3x2 = 4 + -8x + 3x2 + -4 + 8x + -3x2

Reorder the terms:
-4 + 8x + -3x2 = 4 + -4 + -8x + 8x + 3x2 + -3x2

Combine like terms: 4 + -4 = 0
-4 + 8x + -3x2 = 0 + -8x + 8x + 3x2 + -3x2
-4 + 8x + -3x2 = -8x + 8x + 3x2 + -3x2

Combine like terms: -8x + 8x = 0
-4 + 8x + -3x2 = 0 + 3x2 + -3x2
-4 + 8x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + 8x + -3x2 = 0

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

Subproblem 1

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

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 = {2, 0.6666666667}

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