(2x+1)(x-9)=46

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Solution for (2x+1)(x-9)=46 equation: 


Simplifying
(2x + 1)(x + -9) = 46

Reorder the terms:
(1 + 2x)(x + -9) = 46

Reorder the terms:
(1 + 2x)(-9 + x) = 46

Multiply (1 + 2x) * (-9 + x)
(1(-9 + x) + 2x * (-9 + x)) = 46
((-9 * 1 + x * 1) + 2x * (-9 + x)) = 46
((-9 + 1x) + 2x * (-9 + x)) = 46
(-9 + 1x + (-9 * 2x + x * 2x)) = 46
(-9 + 1x + (-18x + 2x2)) = 46

Combine like terms: 1x + -18x = -17x
(-9 + -17x + 2x2) = 46

Solving
-9 + -17x + 2x2 = 46

Solving for variable 'x'.

Reorder the terms:
-9 + -46 + -17x + 2x2 = 46 + -46

Combine like terms: -9 + -46 = -55
-55 + -17x + 2x2 = 46 + -46

Combine like terms: 46 + -46 = 0
-55 + -17x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-2.5, 11}

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