3x(4x+7)=4x-25

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Solution for 3x(4x+7)=4x-25 equation: 


Simplifying
3x(4x + 7) = 4x + -25

Reorder the terms:
3x(7 + 4x) = 4x + -25
(7 * 3x + 4x * 3x) = 4x + -25
(21x + 12x2) = 4x + -25

Reorder the terms:
21x + 12x2 = -25 + 4x

Solving
21x + 12x2 = -25 + 4x

Solving for variable 'x'.

Reorder the terms:
25 + 21x + -4x + 12x2 = -25 + 4x + 25 + -4x

Combine like terms: 21x + -4x = 17x
25 + 17x + 12x2 = -25 + 4x + 25 + -4x

Reorder the terms:
25 + 17x + 12x2 = -25 + 25 + 4x + -4x

Combine like terms: -25 + 25 = 0
25 + 17x + 12x2 = 0 + 4x + -4x
25 + 17x + 12x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
25 + 17x + 12x2 = 0

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

Divide each side by '12'.
2.083333333 + 1.416666667x + x2 = 0

Move the constant term to the right:

Add '-2.083333333' to each side of the equation.
2.083333333 + 1.416666667x + -2.083333333 + x2 = 0 + -2.083333333

Reorder the terms:
2.083333333 + -2.083333333 + 1.416666667x + x2 = 0 + -2.083333333

Combine like terms: 2.083333333 + -2.083333333 = 0.000000000
0.000000000 + 1.416666667x + x2 = 0 + -2.083333333
1.416666667x + x2 = 0 + -2.083333333

Combine like terms: 0 + -2.083333333 = -2.083333333
1.416666667x + x2 = -2.083333333

The x term is 1.416666667x.  Take half its coefficient (0.7083333335).
Square it (0.5017361113) and add it to both sides.

Add '0.5017361113' to each side of the equation.
1.416666667x + 0.5017361113 + x2 = -2.083333333 + 0.5017361113

Reorder the terms:
0.5017361113 + 1.416666667x + x2 = -2.083333333 + 0.5017361113

Combine like terms: -2.083333333 + 0.5017361113 = -1.5815972217
0.5017361113 + 1.416666667x + x2 = -1.5815972217

Factor a perfect square on the left side:
(x + 0.7083333335)(x + 0.7083333335) = -1.5815972217

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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