12x^2-21x+9=12x^2-49x-4

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Solution for 12x^2-21x+9=12x^2-49x-4 equation:


Simplifying
12x2 + -21x + 9 = 12x2 + -49x + -4

Reorder the terms:
9 + -21x + 12x2 = 12x2 + -49x + -4

Reorder the terms:
9 + -21x + 12x2 = -4 + -49x + 12x2

Add '-12x2' to each side of the equation.
9 + -21x + 12x2 + -12x2 = -4 + -49x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
9 + -21x + 0 = -4 + -49x + 12x2 + -12x2
9 + -21x = -4 + -49x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
9 + -21x = -4 + -49x + 0
9 + -21x = -4 + -49x

Solving
9 + -21x = -4 + -49x

Solving for variable 'x'.

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

Add '49x' to each side of the equation.
9 + -21x + 49x = -4 + -49x + 49x

Combine like terms: -21x + 49x = 28x
9 + 28x = -4 + -49x + 49x

Combine like terms: -49x + 49x = 0
9 + 28x = -4 + 0
9 + 28x = -4

Add '-9' to each side of the equation.
9 + -9 + 28x = -4 + -9

Combine like terms: 9 + -9 = 0
0 + 28x = -4 + -9
28x = -4 + -9

Combine like terms: -4 + -9 = -13
28x = -13

Divide each side by '28'.
x = -0.4642857143

Simplifying
x = -0.4642857143

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