7(x^2+25)=10x

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Solution for 7(x^2+25)=10x equation:


Simplifying
7(x2 + 25) = 10x

Reorder the terms:
7(25 + x2) = 10x
(25 * 7 + x2 * 7) = 10x
(175 + 7x2) = 10x

Solving
175 + 7x2 = 10x

Solving for variable 'x'.

Reorder the terms:
175 + -10x + 7x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
175 + -10x + 7x2 = 0

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

Divide each side by '7'.
25 + -1.428571429x + x2 = 0

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -1.428571429x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -1.428571429x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1.428571429x + x2 = 0 + -25
-1.428571429x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1.428571429x + x2 = -25

The x term is -1.428571429x.  Take half its coefficient (-0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
-1.428571429x + 0.5102040819 + x2 = -25 + 0.5102040819

Reorder the terms:
0.5102040819 + -1.428571429x + x2 = -25 + 0.5102040819

Combine like terms: -25 + 0.5102040819 = -24.4897959181
0.5102040819 + -1.428571429x + x2 = -24.4897959181

Factor a perfect square on the left side:
(x + -0.7142857145)(x + -0.7142857145) = -24.4897959181

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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