x*(x+10)=24

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Solution for x*(x+10)=24 equation:


Simplifying
x(x + 10) = 24

Reorder the terms:
x(10 + x) = 24
(10 * x + x * x) = 24
(10x + x2) = 24

Solving
10x + x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 10x + x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 10x + x2 = 0

Factor a trinomial.
(-12 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

Subproblem 2

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

Solution

x = {-12, 2}

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