(2x+5)(x-1)=9

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Solution for (2x+5)(x-1)=9 equation: 


Simplifying
(2x + 5)(x + -1) = 9

Reorder the terms:
(5 + 2x)(x + -1) = 9

Reorder the terms:
(5 + 2x)(-1 + x) = 9

Multiply (5 + 2x) * (-1 + x)
(5(-1 + x) + 2x * (-1 + x)) = 9
((-1 * 5 + x * 5) + 2x * (-1 + x)) = 9
((-5 + 5x) + 2x * (-1 + x)) = 9
(-5 + 5x + (-1 * 2x + x * 2x)) = 9
(-5 + 5x + (-2x + 2x2)) = 9

Combine like terms: 5x + -2x = 3x
(-5 + 3x + 2x2) = 9

Solving
-5 + 3x + 2x2 = 9

Solving for variable 'x'.

Reorder the terms:
-5 + -9 + 3x + 2x2 = 9 + -9

Combine like terms: -5 + -9 = -14
-14 + 3x + 2x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-14 + 3x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(2 + -1x) = 0


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

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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 = {-3.5, 2}

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