(x+9)(2x-3)=98

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Solution for (x+9)(2x-3)=98 equation: 


Simplifying
(x + 9)(2x + -3) = 98

Reorder the terms:
(9 + x)(2x + -3) = 98

Reorder the terms:
(9 + x)(-3 + 2x) = 98

Multiply (9 + x) * (-3 + 2x)
(9(-3 + 2x) + x(-3 + 2x)) = 98
((-3 * 9 + 2x * 9) + x(-3 + 2x)) = 98
((-27 + 18x) + x(-3 + 2x)) = 98
(-27 + 18x + (-3 * x + 2x * x)) = 98
(-27 + 18x + (-3x + 2x2)) = 98

Combine like terms: 18x + -3x = 15x
(-27 + 15x + 2x2) = 98

Solving
-27 + 15x + 2x2 = 98

Solving for variable 'x'.

Reorder the terms:
-27 + -98 + 15x + 2x2 = 98 + -98

Combine like terms: -27 + -98 = -125
-125 + 15x + 2x2 = 98 + -98

Combine like terms: 98 + -98 = 0
-125 + 15x + 2x2 = 0

Factor a trinomial.
(-25 + -2x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve:

Simplifying
-25 + -2x = 0

Solving
-25 + -2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2x = 0 + 25
-2x = 0 + 25

Combine like terms: 0 + 25 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-12.5, 5}

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