(5x+7)(2x+1)=85

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Solution for (5x+7)(2x+1)=85 equation: 


Simplifying
(5x + 7)(2x + 1) = 85

Reorder the terms:
(7 + 5x)(2x + 1) = 85

Reorder the terms:
(7 + 5x)(1 + 2x) = 85

Multiply (7 + 5x) * (1 + 2x)
(7(1 + 2x) + 5x * (1 + 2x)) = 85
((1 * 7 + 2x * 7) + 5x * (1 + 2x)) = 85
((7 + 14x) + 5x * (1 + 2x)) = 85
(7 + 14x + (1 * 5x + 2x * 5x)) = 85
(7 + 14x + (5x + 10x2)) = 85

Combine like terms: 14x + 5x = 19x
(7 + 19x + 10x2) = 85

Solving
7 + 19x + 10x2 = 85

Solving for variable 'x'.

Reorder the terms:
7 + -85 + 19x + 10x2 = 85 + -85

Combine like terms: 7 + -85 = -78
-78 + 19x + 10x2 = 85 + -85

Combine like terms: 85 + -85 = 0
-78 + 19x + 10x2 = 0

Factor a trinomial.
(-39 + -10x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-39 + -10x)' equal to zero and attempt to solve:

Simplifying
-39 + -10x = 0

Solving
-39 + -10x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -10x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -10x = 0 + 39
-10x = 0 + 39

Combine like terms: 0 + 39 = 39
-10x = 39

Divide each side by '-10'.
x = -3.9

Simplifying
x = -3.9

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-3.9, 2}

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