(x+5)(137x+6)=0

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Solution for (x+5)(137x+6)=0 equation:


Simplifying
(x + 5)(137x + 6) = 0

Reorder the terms:
(5 + x)(137x + 6) = 0

Reorder the terms:
(5 + x)(6 + 137x) = 0

Multiply (5 + x) * (6 + 137x)
(5(6 + 137x) + x(6 + 137x)) = 0
((6 * 5 + 137x * 5) + x(6 + 137x)) = 0
((30 + 685x) + x(6 + 137x)) = 0
(30 + 685x + (6 * x + 137x * x)) = 0
(30 + 685x + (6x + 137x2)) = 0

Combine like terms: 685x + 6x = 691x
(30 + 691x + 137x2) = 0

Solving
30 + 691x + 137x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(6 + 137x) = 0

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(6 + 137x)' equal to zero and attempt to solve: Simplifying 6 + 137x = 0 Solving 6 + 137x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 137x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 137x = 0 + -6 137x = 0 + -6 Combine like terms: 0 + -6 = -6 137x = -6 Divide each side by '137'. x = -0.04379562044 Simplifying x = -0.04379562044

Solution

x = {-5, -0.04379562044}

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