-5x(-7x+7)+4(x+4)=

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


Simplifying
-5x(-7x + 7) + 4(x + 4) = 0

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

Reorder the terms:
-35x + 35x2 + 4(4 + x) = 0
-35x + 35x2 + (4 * 4 + x * 4) = 0
-35x + 35x2 + (16 + 4x) = 0

Reorder the terms:
16 + -35x + 4x + 35x2 = 0

Combine like terms: -35x + 4x = -31x
16 + -31x + 35x2 = 0

Solving
16 + -31x + 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'.
0.4571428571 + -0.8857142857x + x2 = 0

Move the constant term to the right:

Add '-0.4571428571' to each side of the equation.
0.4571428571 + -0.8857142857x + -0.4571428571 + x2 = 0 + -0.4571428571

Reorder the terms:
0.4571428571 + -0.4571428571 + -0.8857142857x + x2 = 0 + -0.4571428571

Combine like terms: 0.4571428571 + -0.4571428571 = 0.0000000000
0.0000000000 + -0.8857142857x + x2 = 0 + -0.4571428571
-0.8857142857x + x2 = 0 + -0.4571428571

Combine like terms: 0 + -0.4571428571 = -0.4571428571
-0.8857142857x + x2 = -0.4571428571

The x term is -0.8857142857x.  Take half its coefficient (-0.4428571429).
Square it (0.1961224490) and add it to both sides.

Add '0.1961224490' to each side of the equation.
-0.8857142857x + 0.1961224490 + x2 = -0.4571428571 + 0.1961224490

Reorder the terms:
0.1961224490 + -0.8857142857x + x2 = -0.4571428571 + 0.1961224490

Combine like terms: -0.4571428571 + 0.1961224490 = -0.2610204081
0.1961224490 + -0.8857142857x + x2 = -0.2610204081

Factor a perfect square on the left side:
(x + -0.4428571429)(x + -0.4428571429) = -0.2610204081

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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