x(4x+5)=-7

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Solution for x(4x+5)=-7 equation:


Simplifying
x(4x + 5) = -7

Reorder the terms:
x(5 + 4x) = -7
(5 * x + 4x * x) = -7
(5x + 4x2) = -7

Solving
5x + 4x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + 5x + 4x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + 5x + 4x2 = 0

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

Divide each side by '4'.
1.75 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + 1.25x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + 1.25x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 1.25x + x2 = 0 + -1.75
1.25x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
1.25x + x2 = -1.75

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -1.75 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -1.75 + 0.390625

Combine like terms: -1.75 + 0.390625 = -1.359375
0.390625 + 1.25x + x2 = -1.359375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -1.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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