(x+4)(3x-1)=170

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Solution for (x+4)(3x-1)=170 equation: 


Simplifying
(x + 4)(3x + -1) = 170

Reorder the terms:
(4 + x)(3x + -1) = 170

Reorder the terms:
(4 + x)(-1 + 3x) = 170

Multiply (4 + x) * (-1 + 3x)
(4(-1 + 3x) + x(-1 + 3x)) = 170
((-1 * 4 + 3x * 4) + x(-1 + 3x)) = 170
((-4 + 12x) + x(-1 + 3x)) = 170
(-4 + 12x + (-1 * x + 3x * x)) = 170
(-4 + 12x + (-1x + 3x2)) = 170

Combine like terms: 12x + -1x = 11x
(-4 + 11x + 3x2) = 170

Solving
-4 + 11x + 3x2 = 170

Solving for variable 'x'.

Reorder the terms:
-4 + -170 + 11x + 3x2 = 170 + -170

Combine like terms: -4 + -170 = -174
-174 + 11x + 3x2 = 170 + -170

Combine like terms: 170 + -170 = 0
-174 + 11x + 3x2 = 0

Factor a trinomial.
(-29 + -3x)(6 + -1x) = 0


Subproblem 1
Set the factor '(-29 + -3x)' equal to zero and attempt to solve:

Simplifying
-29 + -3x = 0

Solving
-29 + -3x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -3x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -3x = 0 + 29
-3x = 0 + 29

Combine like terms: 0 + 29 = 29
-3x = 29

Divide each side by '-3'.
x = -9.666666667

Simplifying
x = -9.666666667

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-9.666666667, 6}

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