G(0)=-4x^2-3x-7

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


Simplifying
G(0) = -4x2 + -3x + -7

Reorder the terms for easier multiplication:
0G = -4x2 + -3x + -7

Anything times zero is zero.
0G = -4x2 + -3x + -7

Reorder the terms:
0 = -7 + -3x + -4x2

Solving
0 = -7 + -3x + -4x2

Solving for variable 'x'.

Combine like terms: 0 + 7 = 7
7 + 3x + 4x2 = -7 + -3x + -4x2 + 7 + 3x + 4x2

Reorder the terms:
7 + 3x + 4x2 = -7 + 7 + -3x + 3x + -4x2 + 4x2

Combine like terms: -7 + 7 = 0
7 + 3x + 4x2 = 0 + -3x + 3x + -4x2 + 4x2
7 + 3x + 4x2 = -3x + 3x + -4x2 + 4x2

Combine like terms: -3x + 3x = 0
7 + 3x + 4x2 = 0 + -4x2 + 4x2
7 + 3x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
7 + 3x + 4x2 = 0

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

Divide each side by '4'.
1.75 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + 0.75x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + 0.75x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 0.75x + x2 = 0 + -1.75
0.75x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
0.75x + x2 = -1.75

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -1.75 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -1.75 + 0.140625

Combine like terms: -1.75 + 0.140625 = -1.609375
0.140625 + 0.75x + x2 = -1.609375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -1.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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