(2x+3)(x)=104

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Solution for (2x+3)(x)=104 equation:


Simplifying
(2x + 3)(x) = 104

Reorder the terms:
(3 + 2x)(x) = 104

Reorder the terms for easier multiplication:
x(3 + 2x) = 104
(3 * x + 2x * x) = 104
(3x + 2x2) = 104

Solving
3x + 2x2 = 104

Solving for variable 'x'.

Reorder the terms:
-104 + 3x + 2x2 = 104 + -104

Combine like terms: 104 + -104 = 0
-104 + 3x + 2x2 = 0

Factor a trinomial.
(-8 + -1x)(13 + -2x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5

Solution

x = {-8, 6.5}

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