280=(18-x)x+20x

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Solution for 280=(18-x)x+20x equation:


Simplifying
280 = (18 + -1x) * x + 20x

Reorder the terms for easier multiplication:
280 = x(18 + -1x) + 20x
280 = (18 * x + -1x * x) + 20x
280 = (18x + -1x2) + 20x

Reorder the terms:
280 = 18x + 20x + -1x2

Combine like terms: 18x + 20x = 38x
280 = 38x + -1x2

Solving
280 = 38x + -1x2

Solving for variable 'x'.

Reorder the terms:
280 + -38x + x2 = 38x + -38x + -1x2 + x2

Combine like terms: 38x + -38x = 0
280 + -38x + x2 = 0 + -1x2 + x2
280 + -38x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
280 + -38x + x2 = 0

Factor a trinomial.
(10 + -1x)(28 + -1x) = 0

Subproblem 1

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Subproblem 2

Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28

Solution

x = {10, 28}

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