(2X+5)(X+2)=210

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Solution for (2X+5)(X+2)=210 equation:


Simplifying
(2X + 5)(X + 2) = 210

Reorder the terms:
(5 + 2X)(X + 2) = 210

Reorder the terms:
(5 + 2X)(2 + X) = 210

Multiply (5 + 2X) * (2 + X)
(5(2 + X) + 2X * (2 + X)) = 210
((2 * 5 + X * 5) + 2X * (2 + X)) = 210
((10 + 5X) + 2X * (2 + X)) = 210
(10 + 5X + (2 * 2X + X * 2X)) = 210
(10 + 5X + (4X + 2X2)) = 210

Combine like terms: 5X + 4X = 9X
(10 + 9X + 2X2) = 210

Solving
10 + 9X + 2X2 = 210

Solving for variable 'X'.

Reorder the terms:
10 + -210 + 9X + 2X2 = 210 + -210

Combine like terms: 10 + -210 = -200
-200 + 9X + 2X2 = 210 + -210

Combine like terms: 210 + -210 = 0
-200 + 9X + 2X2 = 0

Factor a trinomial.
(-25 + -2X)(8 + -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 '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 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 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8

Solution

X = {-12.5, 8}

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