6x^2+3x+3=2x^2+3x+12

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Solution for 6x^2+3x+3=2x^2+3x+12 equation: 


Simplifying
6x2 + 3x + 3 = 2x2 + 3x + 12

Reorder the terms:
3 + 3x + 6x2 = 2x2 + 3x + 12

Reorder the terms:
3 + 3x + 6x2 = 12 + 3x + 2x2

Add '-3x' to each side of the equation.
3 + 3x + -3x + 6x2 = 12 + 3x + -3x + 2x2

Combine like terms: 3x + -3x = 0
3 + 0 + 6x2 = 12 + 3x + -3x + 2x2
3 + 6x2 = 12 + 3x + -3x + 2x2

Combine like terms: 3x + -3x = 0
3 + 6x2 = 12 + 0 + 2x2
3 + 6x2 = 12 + 2x2

Solving
3 + 6x2 = 12 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
3 + 6x2 + -2x2 = 12 + 2x2 + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
3 + 4x2 = 12 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + 4x2 = 12 + 0
3 + 4x2 = 12

Add '-3' to each side of the equation.
3 + -3 + 4x2 = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 4x2 = 12 + -3
4x2 = 12 + -3

Combine like terms: 12 + -3 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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