(2x-87)(x+5)=0

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Solution for (2x-87)(x+5)=0 equation:


Simplifying
(2x + -87)(x + 5) = 0

Reorder the terms:
(-87 + 2x)(x + 5) = 0

Reorder the terms:
(-87 + 2x)(5 + x) = 0

Multiply (-87 + 2x) * (5 + x)
(-87(5 + x) + 2x * (5 + x)) = 0
((5 * -87 + x * -87) + 2x * (5 + x)) = 0
((-435 + -87x) + 2x * (5 + x)) = 0
(-435 + -87x + (5 * 2x + x * 2x)) = 0
(-435 + -87x + (10x + 2x2)) = 0

Combine like terms: -87x + 10x = -77x
(-435 + -77x + 2x2) = 0

Solving
-435 + -77x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(87 + -2x) = 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 '(87 + -2x)' equal to zero and attempt to solve: Simplifying 87 + -2x = 0 Solving 87 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + -2x = 0 + -87 Combine like terms: 87 + -87 = 0 0 + -2x = 0 + -87 -2x = 0 + -87 Combine like terms: 0 + -87 = -87 -2x = -87 Divide each side by '-2'. x = 43.5 Simplifying x = 43.5

Solution

x = {-5, 43.5}

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