7(4x^2+5x+6)-3(4x^2+7x+7)=

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Solution for 7(4x^2+5x+6)-3(4x^2+7x+7)= equation:


Simplifying
7(4x2 + 5x + 6) + -3(4x2 + 7x + 7) = 0

Reorder the terms:
7(6 + 5x + 4x2) + -3(4x2 + 7x + 7) = 0
(6 * 7 + 5x * 7 + 4x2 * 7) + -3(4x2 + 7x + 7) = 0
(42 + 35x + 28x2) + -3(4x2 + 7x + 7) = 0

Reorder the terms:
42 + 35x + 28x2 + -3(7 + 7x + 4x2) = 0
42 + 35x + 28x2 + (7 * -3 + 7x * -3 + 4x2 * -3) = 0
42 + 35x + 28x2 + (-21 + -21x + -12x2) = 0

Reorder the terms:
42 + -21 + 35x + -21x + 28x2 + -12x2 = 0

Combine like terms: 42 + -21 = 21
21 + 35x + -21x + 28x2 + -12x2 = 0

Combine like terms: 35x + -21x = 14x
21 + 14x + 28x2 + -12x2 = 0

Combine like terms: 28x2 + -12x2 = 16x2
21 + 14x + 16x2 = 0

Solving
21 + 14x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
1.3125 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-1.3125' to each side of the equation.
1.3125 + 0.875x + -1.3125 + x2 = 0 + -1.3125

Reorder the terms:
1.3125 + -1.3125 + 0.875x + x2 = 0 + -1.3125

Combine like terms: 1.3125 + -1.3125 = 0.0000
0.0000 + 0.875x + x2 = 0 + -1.3125
0.875x + x2 = 0 + -1.3125

Combine like terms: 0 + -1.3125 = -1.3125
0.875x + x2 = -1.3125

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -1.3125 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -1.3125 + 0.19140625

Combine like terms: -1.3125 + 0.19140625 = -1.12109375
0.19140625 + 0.875x + x2 = -1.12109375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -1.12109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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