(9-x)(5x+8)=0

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Solution for (9-x)(5x+8)=0 equation:


Simplifying
(9 + -1x)(5x + 8) = 0

Reorder the terms:
(9 + -1x)(8 + 5x) = 0

Multiply (9 + -1x) * (8 + 5x)
(9(8 + 5x) + -1x * (8 + 5x)) = 0
((8 * 9 + 5x * 9) + -1x * (8 + 5x)) = 0
((72 + 45x) + -1x * (8 + 5x)) = 0
(72 + 45x + (8 * -1x + 5x * -1x)) = 0
(72 + 45x + (-8x + -5x2)) = 0

Combine like terms: 45x + -8x = 37x
(72 + 37x + -5x2) = 0

Solving
72 + 37x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -1x)(8 + 5x) = 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 '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6

Solution

x = {9, -1.6}

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