5(x^2-25)=7x(2x-1)

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Solution for 5(x^2-25)=7x(2x-1) equation:


Simplifying
5(x2 + -25) = 7x(2x + -1)

Reorder the terms:
5(-25 + x2) = 7x(2x + -1)
(-25 * 5 + x2 * 5) = 7x(2x + -1)
(-125 + 5x2) = 7x(2x + -1)

Reorder the terms:
-125 + 5x2 = 7x(-1 + 2x)
-125 + 5x2 = (-1 * 7x + 2x * 7x)
-125 + 5x2 = (-7x + 14x2)

Solving
-125 + 5x2 = -7x + 14x2

Solving for variable 'x'.

Reorder the terms:
-125 + 7x + 5x2 + -14x2 = -7x + 14x2 + 7x + -14x2

Combine like terms: 5x2 + -14x2 = -9x2
-125 + 7x + -9x2 = -7x + 14x2 + 7x + -14x2

Reorder the terms:
-125 + 7x + -9x2 = -7x + 7x + 14x2 + -14x2

Combine like terms: -7x + 7x = 0
-125 + 7x + -9x2 = 0 + 14x2 + -14x2
-125 + 7x + -9x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-125 + 7x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
13.88888889 + -0.7777777778x + x2 = 0

Move the constant term to the right:

Add '-13.88888889' to each side of the equation.
13.88888889 + -0.7777777778x + -13.88888889 + x2 = 0 + -13.88888889

Reorder the terms:
13.88888889 + -13.88888889 + -0.7777777778x + x2 = 0 + -13.88888889

Combine like terms: 13.88888889 + -13.88888889 = 0.00000000
0.00000000 + -0.7777777778x + x2 = 0 + -13.88888889
-0.7777777778x + x2 = 0 + -13.88888889

Combine like terms: 0 + -13.88888889 = -13.88888889
-0.7777777778x + x2 = -13.88888889

The x term is -0.7777777778x.  Take half its coefficient (-0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
-0.7777777778x + 0.1512345679 + x2 = -13.88888889 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778x + x2 = -13.88888889 + 0.1512345679

Combine like terms: -13.88888889 + 0.1512345679 = -13.7376543221
0.1512345679 + -0.7777777778x + x2 = -13.7376543221

Factor a perfect square on the left side:
(x + -0.3888888889)(x + -0.3888888889) = -13.7376543221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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