3x^2-4x+21=3x^2+12x+9

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Solution for 3x^2-4x+21=3x^2+12x+9 equation:


Simplifying
3x2 + -4x + 21 = 3x2 + 12x + 9

Reorder the terms:
21 + -4x + 3x2 = 3x2 + 12x + 9

Reorder the terms:
21 + -4x + 3x2 = 9 + 12x + 3x2

Add '-3x2' to each side of the equation.
21 + -4x + 3x2 + -3x2 = 9 + 12x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
21 + -4x + 0 = 9 + 12x + 3x2 + -3x2
21 + -4x = 9 + 12x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
21 + -4x = 9 + 12x + 0
21 + -4x = 9 + 12x

Solving
21 + -4x = 9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
21 + -4x + -12x = 9 + 12x + -12x

Combine like terms: -4x + -12x = -16x
21 + -16x = 9 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -16x = 9 + 0
21 + -16x = 9

Add '-21' to each side of the equation.
21 + -21 + -16x = 9 + -21

Combine like terms: 21 + -21 = 0
0 + -16x = 9 + -21
-16x = 9 + -21

Combine like terms: 9 + -21 = -12
-16x = -12

Divide each side by '-16'.
x = 0.75

Simplifying
x = 0.75

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