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

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


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

Reorder the terms:
5(-2 + x) = 7x(x + -1)
(-2 * 5 + x * 5) = 7x(x + -1)
(-10 + 5x) = 7x(x + -1)

Reorder the terms:
-10 + 5x = 7x(-1 + x)
-10 + 5x = (-1 * 7x + x * 7x)
-10 + 5x = (-7x + 7x2)

Solving
-10 + 5x = -7x + 7x2

Solving for variable 'x'.

Combine like terms: 5x + 7x = 12x
-10 + 12x + -7x2 = -7x + 7x2 + 7x + -7x2

Reorder the terms:
-10 + 12x + -7x2 = -7x + 7x + 7x2 + -7x2

Combine like terms: -7x + 7x = 0
-10 + 12x + -7x2 = 0 + 7x2 + -7x2
-10 + 12x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-10 + 12x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.428571429 + -1.714285714x + x2 = 0

Move the constant term to the right:

Add '-1.428571429' to each side of the equation.
1.428571429 + -1.714285714x + -1.428571429 + x2 = 0 + -1.428571429

Reorder the terms:
1.428571429 + -1.428571429 + -1.714285714x + x2 = 0 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + -1.714285714x + x2 = 0 + -1.428571429
-1.714285714x + x2 = 0 + -1.428571429

Combine like terms: 0 + -1.428571429 = -1.428571429
-1.714285714x + x2 = -1.428571429

The x term is -1.714285714x.  Take half its coefficient (-0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
-1.714285714x + 0.7346938773 + x2 = -1.428571429 + 0.7346938773

Reorder the terms:
0.7346938773 + -1.714285714x + x2 = -1.428571429 + 0.7346938773

Combine like terms: -1.428571429 + 0.7346938773 = -0.6938775517
0.7346938773 + -1.714285714x + x2 = -0.6938775517

Factor a perfect square on the left side:
(x + -0.857142857)(x + -0.857142857) = -0.6938775517

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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