(x+2)(2x+5)=36

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Solution for (x+2)(2x+5)=36 equation:


Simplifying
(x + 2)(2x + 5) = 36

Reorder the terms:
(2 + x)(2x + 5) = 36

Reorder the terms:
(2 + x)(5 + 2x) = 36

Multiply (2 + x) * (5 + 2x)
(2(5 + 2x) + x(5 + 2x)) = 36
((5 * 2 + 2x * 2) + x(5 + 2x)) = 36
((10 + 4x) + x(5 + 2x)) = 36
(10 + 4x + (5 * x + 2x * x)) = 36
(10 + 4x + (5x + 2x2)) = 36

Combine like terms: 4x + 5x = 9x
(10 + 9x + 2x2) = 36

Solving
10 + 9x + 2x2 = 36

Solving for variable 'x'.

Reorder the terms:
10 + -36 + 9x + 2x2 = 36 + -36

Combine like terms: 10 + -36 = -26
-26 + 9x + 2x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-26 + 9x + 2x2 = 0

Factor a trinomial.
(-13 + -2x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve:

Simplifying
-13 + -2x = 0

Solving
-13 + -2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 0 + 13
-2x = 0 + 13

Combine like terms: 0 + 13 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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 = {-6.5, 2}

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