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

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


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

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

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

Multiply (9 + 5x) * (-8 + 5x)
(9(-8 + 5x) + 5x * (-8 + 5x)) = 0
((-8 * 9 + 5x * 9) + 5x * (-8 + 5x)) = 0
((-72 + 45x) + 5x * (-8 + 5x)) = 0
(-72 + 45x + (-8 * 5x + 5x * 5x)) = 0
(-72 + 45x + (-40x + 25x2)) = 0

Combine like terms: 45x + -40x = 5x
(-72 + 5x + 25x2) = 0

Solving
-72 + 5x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -5x)(8 + -5x) = 0

Subproblem 1

Set the factor '(-9 + -5x)' equal to zero and attempt to solve: Simplifying -9 + -5x = 0 Solving -9 + -5x = 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 + -5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 0 + 9 -5x = 0 + 9 Combine like terms: 0 + 9 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8

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 = {-1.8, 1.6}

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