(x-10)(3x+1)=440

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Solution for (x-10)(3x+1)=440 equation: 


Simplifying
(x + -10)(3x + 1) = 440

Reorder the terms:
(-10 + x)(3x + 1) = 440

Reorder the terms:
(-10 + x)(1 + 3x) = 440

Multiply (-10 + x) * (1 + 3x)
(-10(1 + 3x) + x(1 + 3x)) = 440
((1 * -10 + 3x * -10) + x(1 + 3x)) = 440
((-10 + -30x) + x(1 + 3x)) = 440
(-10 + -30x + (1 * x + 3x * x)) = 440
(-10 + -30x + (1x + 3x2)) = 440

Combine like terms: -30x + 1x = -29x
(-10 + -29x + 3x2) = 440

Solving
-10 + -29x + 3x2 = 440

Solving for variable 'x'.

Reorder the terms:
-10 + -440 + -29x + 3x2 = 440 + -440

Combine like terms: -10 + -440 = -450
-450 + -29x + 3x2 = 440 + -440

Combine like terms: 440 + -440 = 0
-450 + -29x + 3x2 = 0

Factor a trinomial.
(-25 + -3x)(18 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -3x)' equal to zero and attempt to solve:

Simplifying
-25 + -3x = 0

Solving
-25 + -3x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -3x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -3x = 0 + 25
-3x = 0 + 25

Combine like terms: 0 + 25 = 25
-3x = 25

Divide each side by '-3'.
x = -8.333333333

Simplifying
x = -8.333333333

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-8.333333333, 18}

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