4x(7+5x)-8(-x-7)=

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Solution for 4x(7+5x)-8(-x-7)= equation:


Simplifying
4x(7 + 5x) + -8(-1x + -7) = 0
(7 * 4x + 5x * 4x) + -8(-1x + -7) = 0
(28x + 20x2) + -8(-1x + -7) = 0

Reorder the terms:
28x + 20x2 + -8(-7 + -1x) = 0
28x + 20x2 + (-7 * -8 + -1x * -8) = 0
28x + 20x2 + (56 + 8x) = 0

Reorder the terms:
56 + 28x + 8x + 20x2 = 0

Combine like terms: 28x + 8x = 36x
56 + 36x + 20x2 = 0

Solving
56 + 36x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + 9x + 5x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(14 + 9x + 5x2)' equal to zero and attempt to solve:

Simplifying
14 + 9x + 5x2 = 0

Solving
14 + 9x + 5x2 = 0

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

Divide each side by '5'.
2.8 + 1.8x + x2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + 1.8x + -2.8 + x2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + 1.8x + x2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 1.8x + x2 = 0 + -2.8
1.8x + x2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
1.8x + x2 = -2.8

The x term is 1.8x.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8x + 0.81 + x2 = -2.8 + 0.81

Reorder the terms:
0.81 + 1.8x + x2 = -2.8 + 0.81

Combine like terms: -2.8 + 0.81 = -1.99
0.81 + 1.8x + x2 = -1.99

Factor a perfect square on the left side:
(x + 0.9)(x + 0.9) = -1.99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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