(x-80)(x+5)=0

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Solution for (x-80)(x+5)=0 equation:


Simplifying
(x + -80)(x + 5) = 0

Reorder the terms:
(-80 + x)(x + 5) = 0

Reorder the terms:
(-80 + x)(5 + x) = 0

Multiply (-80 + x) * (5 + x)
(-80(5 + x) + x(5 + x)) = 0
((5 * -80 + x * -80) + x(5 + x)) = 0
((-400 + -80x) + x(5 + x)) = 0
(-400 + -80x + (5 * x + x * x)) = 0
(-400 + -80x + (5x + x2)) = 0

Combine like terms: -80x + 5x = -75x
(-400 + -75x + x2) = 0

Solving
-400 + -75x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(80 + -1x) = 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 '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80

Solution

x = {-5, 80}

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