7x(2x+3)=9(x-1)-5x

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Solution for 7x(2x+3)=9(x-1)-5x equation:


Simplifying
7x(2x + 3) = 9(x + -1) + -5x

Reorder the terms:
7x(3 + 2x) = 9(x + -1) + -5x
(3 * 7x + 2x * 7x) = 9(x + -1) + -5x
(21x + 14x2) = 9(x + -1) + -5x

Reorder the terms:
21x + 14x2 = 9(-1 + x) + -5x
21x + 14x2 = (-1 * 9 + x * 9) + -5x
21x + 14x2 = (-9 + 9x) + -5x

Combine like terms: 9x + -5x = 4x
21x + 14x2 = -9 + 4x

Solving
21x + 14x2 = -9 + 4x

Solving for variable 'x'.

Reorder the terms:
9 + 21x + -4x + 14x2 = -9 + 4x + 9 + -4x

Combine like terms: 21x + -4x = 17x
9 + 17x + 14x2 = -9 + 4x + 9 + -4x

Reorder the terms:
9 + 17x + 14x2 = -9 + 9 + 4x + -4x

Combine like terms: -9 + 9 = 0
9 + 17x + 14x2 = 0 + 4x + -4x
9 + 17x + 14x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 17x + 14x2 = 0

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

Divide each side by '14'.
0.6428571429 + 1.214285714x + x2 = 0

Move the constant term to the right:

Add '-0.6428571429' to each side of the equation.
0.6428571429 + 1.214285714x + -0.6428571429 + x2 = 0 + -0.6428571429

Reorder the terms:
0.6428571429 + -0.6428571429 + 1.214285714x + x2 = 0 + -0.6428571429

Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000
0.0000000000 + 1.214285714x + x2 = 0 + -0.6428571429
1.214285714x + x2 = 0 + -0.6428571429

Combine like terms: 0 + -0.6428571429 = -0.6428571429
1.214285714x + x2 = -0.6428571429

The x term is 1.214285714x.  Take half its coefficient (0.607142857).
Square it (0.3686224488) and add it to both sides.

Add '0.3686224488' to each side of the equation.
1.214285714x + 0.3686224488 + x2 = -0.6428571429 + 0.3686224488

Reorder the terms:
0.3686224488 + 1.214285714x + x2 = -0.6428571429 + 0.3686224488

Combine like terms: -0.6428571429 + 0.3686224488 = -0.2742346941
0.3686224488 + 1.214285714x + x2 = -0.2742346941

Factor a perfect square on the left side:
(x + 0.607142857)(x + 0.607142857) = -0.2742346941

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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