6x^2-4x-2=-3+3x^2

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Solution for 6x^2-4x-2=-3+3x^2 equation:


Simplifying
6x2 + -4x + -2 = -3 + 3x2

Reorder the terms:
-2 + -4x + 6x2 = -3 + 3x2

Solving
-2 + -4x + 6x2 = -3 + 3x2

Solving for variable 'x'.

Reorder the terms:
-2 + 3 + -4x + 6x2 + -3x2 = -3 + 3x2 + 3 + -3x2

Combine like terms: -2 + 3 = 1
1 + -4x + 6x2 + -3x2 = -3 + 3x2 + 3 + -3x2

Combine like terms: 6x2 + -3x2 = 3x2
1 + -4x + 3x2 = -3 + 3x2 + 3 + -3x2

Reorder the terms:
1 + -4x + 3x2 = -3 + 3 + 3x2 + -3x2

Combine like terms: -3 + 3 = 0
1 + -4x + 3x2 = 0 + 3x2 + -3x2
1 + -4x + 3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1 + -4x + 3x2 = 0

Factor a trinomial.
(1 + -3x)(1 + -1x) = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {0.3333333333, 1}

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