(x+9)(5-x)=0

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Solution for (x+9)(5-x)=0 equation:


Simplifying
(x + 9)(5 + -1x) = 0

Reorder the terms:
(9 + x)(5 + -1x) = 0

Multiply (9 + x) * (5 + -1x)
(9(5 + -1x) + x(5 + -1x)) = 0
((5 * 9 + -1x * 9) + x(5 + -1x)) = 0
((45 + -9x) + x(5 + -1x)) = 0
(45 + -9x + (5 * x + -1x * x)) = 0
(45 + -9x + (5x + -1x2)) = 0

Combine like terms: -9x + 5x = -4x
(45 + -4x + -1x2) = 0

Solving
45 + -4x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(9 + x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Solution

x = {5, -9}

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