x(2x+13)=24

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Solution for x(2x+13)=24 equation:


Simplifying
x(2x + 13) = 24

Reorder the terms:
x(13 + 2x) = 24
(13 * x + 2x * x) = 24
(13x + 2x2) = 24

Solving
13x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 13x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 13x + 2x2 = 0

Factor a trinomial.
(-8 + -1x)(3 + -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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-8, 1.5}

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