(3x+5)(2x-1)=119

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Solution for (3x+5)(2x-1)=119 equation:


Simplifying
(3x + 5)(2x + -1) = 119

Reorder the terms:
(5 + 3x)(2x + -1) = 119

Reorder the terms:
(5 + 3x)(-1 + 2x) = 119

Multiply (5 + 3x) * (-1 + 2x)
(5(-1 + 2x) + 3x * (-1 + 2x)) = 119
((-1 * 5 + 2x * 5) + 3x * (-1 + 2x)) = 119
((-5 + 10x) + 3x * (-1 + 2x)) = 119
(-5 + 10x + (-1 * 3x + 2x * 3x)) = 119
(-5 + 10x + (-3x + 6x2)) = 119

Combine like terms: 10x + -3x = 7x
(-5 + 7x + 6x2) = 119

Solving
-5 + 7x + 6x2 = 119

Solving for variable 'x'.

Reorder the terms:
-5 + -119 + 7x + 6x2 = 119 + -119

Combine like terms: -5 + -119 = -124
-124 + 7x + 6x2 = 119 + -119

Combine like terms: 119 + -119 = 0
-124 + 7x + 6x2 = 0

Factor a trinomial.
(-31 + -6x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-31 + -6x)' equal to zero and attempt to solve:

Simplifying
-31 + -6x = 0

Solving
-31 + -6x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -6x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -6x = 0 + 31
-6x = 0 + 31

Combine like terms: 0 + 31 = 31
-6x = 31

Divide each side by '-6'.
x = -5.166666667

Simplifying
x = -5.166666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-5.166666667, 4}

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