(5x+2)(3x-1)=740

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Solution for (5x+2)(3x-1)=740 equation: 


Simplifying
(5x + 2)(3x + -1) = 740

Reorder the terms:
(2 + 5x)(3x + -1) = 740

Reorder the terms:
(2 + 5x)(-1 + 3x) = 740

Multiply (2 + 5x) * (-1 + 3x)
(2(-1 + 3x) + 5x * (-1 + 3x)) = 740
((-1 * 2 + 3x * 2) + 5x * (-1 + 3x)) = 740
((-2 + 6x) + 5x * (-1 + 3x)) = 740
(-2 + 6x + (-1 * 5x + 3x * 5x)) = 740
(-2 + 6x + (-5x + 15x2)) = 740

Combine like terms: 6x + -5x = 1x
(-2 + 1x + 15x2) = 740

Solving
-2 + 1x + 15x2 = 740

Solving for variable 'x'.

Reorder the terms:
-2 + -740 + 1x + 15x2 = 740 + -740

Combine like terms: -2 + -740 = -742
-742 + 1x + 15x2 = 740 + -740

Combine like terms: 740 + -740 = 0
-742 + 1x + 15x2 = 0

Factor a trinomial.
(-106 + -15x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-106 + -15x)' equal to zero and attempt to solve:

Simplifying
-106 + -15x = 0

Solving
-106 + -15x = 0

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

Add '106' to each side of the equation.
-106 + 106 + -15x = 0 + 106

Combine like terms: -106 + 106 = 0
0 + -15x = 0 + 106
-15x = 0 + 106

Combine like terms: 0 + 106 = 106
-15x = 106

Divide each side by '-15'.
x = -7.066666667

Simplifying
x = -7.066666667

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-7.066666667, 7}

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