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

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


Simplifying
7(5x2 + 2) + 2(2x + -1) = 0

Reorder the terms:
7(2 + 5x2) + 2(2x + -1) = 0
(2 * 7 + 5x2 * 7) + 2(2x + -1) = 0
(14 + 35x2) + 2(2x + -1) = 0

Reorder the terms:
14 + 35x2 + 2(-1 + 2x) = 0
14 + 35x2 + (-1 * 2 + 2x * 2) = 0
14 + 35x2 + (-2 + 4x) = 0

Reorder the terms:
14 + -2 + 4x + 35x2 = 0

Combine like terms: 14 + -2 = 12
12 + 4x + 35x2 = 0

Solving
12 + 4x + 35x2 = 0

Solving for variable 'x'.

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

Divide each side by '35'.
0.3428571429 + 0.1142857143x + x2 = 0

Move the constant term to the right:

Add '-0.3428571429' to each side of the equation.
0.3428571429 + 0.1142857143x + -0.3428571429 + x2 = 0 + -0.3428571429

Reorder the terms:
0.3428571429 + -0.3428571429 + 0.1142857143x + x2 = 0 + -0.3428571429

Combine like terms: 0.3428571429 + -0.3428571429 = 0.0000000000
0.0000000000 + 0.1142857143x + x2 = 0 + -0.3428571429
0.1142857143x + x2 = 0 + -0.3428571429

Combine like terms: 0 + -0.3428571429 = -0.3428571429
0.1142857143x + x2 = -0.3428571429

The x term is 0.1142857143x.  Take half its coefficient (0.05714285715).
Square it (0.003265306123) and add it to both sides.

Add '0.003265306123' to each side of the equation.
0.1142857143x + 0.003265306123 + x2 = -0.3428571429 + 0.003265306123

Reorder the terms:
0.003265306123 + 0.1142857143x + x2 = -0.3428571429 + 0.003265306123

Combine like terms: -0.3428571429 + 0.003265306123 = -0.339591836777
0.003265306123 + 0.1142857143x + x2 = -0.339591836777

Factor a perfect square on the left side:
(x + 0.05714285715)(x + 0.05714285715) = -0.339591836777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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