(x+2)(2x-1)=25

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Solution for (x+2)(2x-1)=25 equation: 


Simplifying
(x + 2)(2x + -1) = 25

Reorder the terms:
(2 + x)(2x + -1) = 25

Reorder the terms:
(2 + x)(-1 + 2x) = 25

Multiply (2 + x) * (-1 + 2x)
(2(-1 + 2x) + x(-1 + 2x)) = 25
((-1 * 2 + 2x * 2) + x(-1 + 2x)) = 25
((-2 + 4x) + x(-1 + 2x)) = 25
(-2 + 4x + (-1 * x + 2x * x)) = 25
(-2 + 4x + (-1x + 2x2)) = 25

Combine like terms: 4x + -1x = 3x
(-2 + 3x + 2x2) = 25

Solving
-2 + 3x + 2x2 = 25

Solving for variable 'x'.

Reorder the terms:
-2 + -25 + 3x + 2x2 = 25 + -25

Combine like terms: -2 + -25 = -27
-27 + 3x + 2x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-27 + 3x + 2x2 = 0

Factor a trinomial.
(-9 + -2x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4.5, 3}

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