2(3x-2)=3x^2+6x+28

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Solution for 2(3x-2)=3x^2+6x+28 equation:


Simplifying
2(3x + -2) = 3x2 + 6x + 28

Reorder the terms:
2(-2 + 3x) = 3x2 + 6x + 28
(-2 * 2 + 3x * 2) = 3x2 + 6x + 28
(-4 + 6x) = 3x2 + 6x + 28

Reorder the terms:
-4 + 6x = 28 + 6x + 3x2

Add '-6x' to each side of the equation.
-4 + 6x + -6x = 28 + 6x + -6x + 3x2

Combine like terms: 6x + -6x = 0
-4 + 0 = 28 + 6x + -6x + 3x2
-4 = 28 + 6x + -6x + 3x2

Combine like terms: 6x + -6x = 0
-4 = 28 + 0 + 3x2
-4 = 28 + 3x2

Solving
-4 = 28 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-4 + -3x2 = 28 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + -3x2 = 28 + 0
-4 + -3x2 = 28

Add '4' to each side of the equation.
-4 + 4 + -3x2 = 28 + 4

Combine like terms: -4 + 4 = 0
0 + -3x2 = 28 + 4
-3x2 = 28 + 4

Combine like terms: 28 + 4 = 32
-3x2 = 32

Divide each side by '-3'.
x2 = -10.66666667

Simplifying
x2 = -10.66666667

Reorder the terms:
10.66666667 + x2 = -10.66666667 + 10.66666667

Combine like terms: -10.66666667 + 10.66666667 = 0.00000000
10.66666667 + x2 = 0.00000000

The solution to this equation could not be determined.

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