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

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


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

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

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

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

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

Solving
170 = -4 + 11x + 3x2

Solving for variable 'x'.

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

Reorder the terms:
174 + -11x + -3x2 = -4 + 4 + 11x + -11x + 3x2 + -3x2

Combine like terms: -4 + 4 = 0
174 + -11x + -3x2 = 0 + 11x + -11x + 3x2 + -3x2
174 + -11x + -3x2 = 11x + -11x + 3x2 + -3x2

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

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

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {6, -9.666666667}

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