(x-5)(x+2)=98

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Solution for (x-5)(x+2)=98 equation: 


Simplifying
(x + -5)(x + 2) = 98

Reorder the terms:
(-5 + x)(x + 2) = 98

Reorder the terms:
(-5 + x)(2 + x) = 98

Multiply (-5 + x) * (2 + x)
(-5(2 + x) + x(2 + x)) = 98
((2 * -5 + x * -5) + x(2 + x)) = 98
((-10 + -5x) + x(2 + x)) = 98
(-10 + -5x + (2 * x + x * x)) = 98
(-10 + -5x + (2x + x2)) = 98

Combine like terms: -5x + 2x = -3x
(-10 + -3x + x2) = 98

Solving
-10 + -3x + x2 = 98

Solving for variable 'x'.

Reorder the terms:
-10 + -98 + -3x + x2 = 98 + -98

Combine like terms: -10 + -98 = -108
-108 + -3x + x2 = 98 + -98

Combine like terms: 98 + -98 = 0
-108 + -3x + x2 = 0

Factor a trinomial.
(-9 + -1x)(12 + -1x) = 0


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

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 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 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-9, 12}

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