(2x^2-5x-7)-(7x^2+3)+4(2x-5)=0

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Solution for (2x^2-5x-7)-(7x^2+3)+4(2x-5)=0 equation: 


Simplifying
(2x2 + -5x + -7) + -1(7x2 + 3) + 4(2x + -5) = 0

Reorder the terms:
(-7 + -5x + 2x2) + -1(7x2 + 3) + 4(2x + -5) = 0

Remove parenthesis around (-7 + -5x + 2x2)
-7 + -5x + 2x2 + -1(7x2 + 3) + 4(2x + -5) = 0

Reorder the terms:
-7 + -5x + 2x2 + -1(3 + 7x2) + 4(2x + -5) = 0
-7 + -5x + 2x2 + (3 * -1 + 7x2 * -1) + 4(2x + -5) = 0
-7 + -5x + 2x2 + (-3 + -7x2) + 4(2x + -5) = 0

Reorder the terms:
-7 + -5x + 2x2 + -3 + -7x2 + 4(-5 + 2x) = 0
-7 + -5x + 2x2 + -3 + -7x2 + (-5 * 4 + 2x * 4) = 0
-7 + -5x + 2x2 + -3 + -7x2 + (-20 + 8x) = 0

Reorder the terms:
-7 + -3 + -20 + -5x + 8x + 2x2 + -7x2 = 0

Combine like terms: -7 + -3 = -10
-10 + -20 + -5x + 8x + 2x2 + -7x2 = 0

Combine like terms: -10 + -20 = -30
-30 + -5x + 8x + 2x2 + -7x2 = 0

Combine like terms: -5x + 8x = 3x
-30 + 3x + 2x2 + -7x2 = 0

Combine like terms: 2x2 + -7x2 = -5x2
-30 + 3x + -5x2 = 0

Solving
-30 + 3x + -5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
6 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.6x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -0.6x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.6x + x2 = 0 + -6
-0.6x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.6x + x2 = -6

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -6 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -6 + 0.09

Combine like terms: -6 + 0.09 = -5.91
0.09 + -0.6x + x2 = -5.91

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -5.91

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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