24x^2+14x-2=9x-7

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Solution for 24x^2+14x-2=9x-7 equation: 


Simplifying
24x2 + 14x + -2 = 9x + -7

Reorder the terms:
-2 + 14x + 24x2 = 9x + -7

Reorder the terms:
-2 + 14x + 24x2 = -7 + 9x

Solving
-2 + 14x + 24x2 = -7 + 9x

Solving for variable 'x'.

Reorder the terms:
-2 + 7 + 14x + -9x + 24x2 = -7 + 9x + 7 + -9x

Combine like terms: -2 + 7 = 5
5 + 14x + -9x + 24x2 = -7 + 9x + 7 + -9x

Combine like terms: 14x + -9x = 5x
5 + 5x + 24x2 = -7 + 9x + 7 + -9x

Reorder the terms:
5 + 5x + 24x2 = -7 + 7 + 9x + -9x

Combine like terms: -7 + 7 = 0
5 + 5x + 24x2 = 0 + 9x + -9x
5 + 5x + 24x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
5 + 5x + 24x2 = 0

Begin completing the square.  Divide all terms by
24 the coefficient of the squared term: 

Divide each side by '24'.
0.2083333333 + 0.2083333333x + x2 = 0

Move the constant term to the right:

Add '-0.2083333333' to each side of the equation.
0.2083333333 + 0.2083333333x + -0.2083333333 + x2 = 0 + -0.2083333333

Reorder the terms:
0.2083333333 + -0.2083333333 + 0.2083333333x + x2 = 0 + -0.2083333333

Combine like terms: 0.2083333333 + -0.2083333333 = 0.0000000000
0.0000000000 + 0.2083333333x + x2 = 0 + -0.2083333333
0.2083333333x + x2 = 0 + -0.2083333333

Combine like terms: 0 + -0.2083333333 = -0.2083333333
0.2083333333x + x2 = -0.2083333333

The x term is 0.2083333333x.  Take half its coefficient (0.1041666667).
Square it (0.01085069445) and add it to both sides.

Add '0.01085069445' to each side of the equation.
0.2083333333x + 0.01085069445 + x2 = -0.2083333333 + 0.01085069445

Reorder the terms:
0.01085069445 + 0.2083333333x + x2 = -0.2083333333 + 0.01085069445

Combine like terms: -0.2083333333 + 0.01085069445 = -0.19748263885
0.01085069445 + 0.2083333333x + x2 = -0.19748263885

Factor a perfect square on the left side:
(x + 0.1041666667)(x + 0.1041666667) = -0.19748263885

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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