5=-4(3x+1)13x

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Solution for 5=-4(3x+1)13x equation:


Simplifying
5 = -4(3x + 1) * 13x

Reorder the terms:
5 = -4(1 + 3x) * 13x

Reorder the terms for easier multiplication:
5 = -4 * 13x(1 + 3x)

Multiply -4 * 13
5 = -52x(1 + 3x)
5 = (1 * -52x + 3x * -52x)
5 = (-52x + -156x2)

Solving
5 = -52x + -156x2

Solving for variable 'x'.

Reorder the terms:
5 + 52x + 156x2 = -52x + 52x + -156x2 + 156x2

Combine like terms: -52x + 52x = 0
5 + 52x + 156x2 = 0 + -156x2 + 156x2
5 + 52x + 156x2 = -156x2 + 156x2

Combine like terms: -156x2 + 156x2 = 0
5 + 52x + 156x2 = 0

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

Divide each side by '156'.
0.03205128205 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.03205128205' to each side of the equation.
0.03205128205 + 0.3333333333x + -0.03205128205 + x2 = 0 + -0.03205128205

Reorder the terms:
0.03205128205 + -0.03205128205 + 0.3333333333x + x2 = 0 + -0.03205128205

Combine like terms: 0.03205128205 + -0.03205128205 = 0.00000000000
0.00000000000 + 0.3333333333x + x2 = 0 + -0.03205128205
0.3333333333x + x2 = 0 + -0.03205128205

Combine like terms: 0 + -0.03205128205 = -0.03205128205
0.3333333333x + x2 = -0.03205128205

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -0.03205128205 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.03205128205 + 0.02777777779

Combine like terms: -0.03205128205 + 0.02777777779 = -0.00427350426
0.02777777779 + 0.3333333333x + x2 = -0.00427350426

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.00427350426

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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