(2x-15)(x)=500

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Solution for (2x-15)(x)=500 equation:


Simplifying
(2x + -15)(x) = 500

Reorder the terms:
(-15 + 2x)(x) = 500

Reorder the terms for easier multiplication:
x(-15 + 2x) = 500
(-15 * x + 2x * x) = 500
(-15x + 2x2) = 500

Solving
-15x + 2x2 = 500

Solving for variable 'x'.

Reorder the terms:
-500 + -15x + 2x2 = 500 + -500

Combine like terms: 500 + -500 = 0
-500 + -15x + 2x2 = 0

Factor a trinomial.
(-25 + -2x)(20 + -1x) = 0

Subproblem 1

Set the factor '(-25 + -2x)' equal to zero and attempt to solve: Simplifying -25 + -2x = 0 Solving -25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 0 + 25 -2x = 0 + 25 Combine like terms: 0 + 25 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5

Subproblem 2

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Solution

x = {-12.5, 20}

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