(x-6)(3x+1)=124

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Solution for (x-6)(3x+1)=124 equation: 


Simplifying
(x + -6)(3x + 1) = 124

Reorder the terms:
(-6 + x)(3x + 1) = 124

Reorder the terms:
(-6 + x)(1 + 3x) = 124

Multiply (-6 + x) * (1 + 3x)
(-6(1 + 3x) + x(1 + 3x)) = 124
((1 * -6 + 3x * -6) + x(1 + 3x)) = 124
((-6 + -18x) + x(1 + 3x)) = 124
(-6 + -18x + (1 * x + 3x * x)) = 124
(-6 + -18x + (1x + 3x2)) = 124

Combine like terms: -18x + 1x = -17x
(-6 + -17x + 3x2) = 124

Solving
-6 + -17x + 3x2 = 124

Solving for variable 'x'.

Reorder the terms:
-6 + -124 + -17x + 3x2 = 124 + -124

Combine like terms: -6 + -124 = -130
-130 + -17x + 3x2 = 124 + -124

Combine like terms: 124 + -124 = 0
-130 + -17x + 3x2 = 0

Factor a trinomial.
(-13 + -3x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -3x)' equal to zero and attempt to solve:

Simplifying
-13 + -3x = 0

Solving
-13 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + -3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 0 + 13
-3x = 0 + 13

Combine like terms: 0 + 13 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-4.333333333, 10}

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