x*(x+10)=3339

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Solution for x*(x+10)=3339 equation:


Simplifying
x(x + 10) = 3339

Reorder the terms:
x(10 + x) = 3339
(10 * x + x * x) = 3339
(10x + x2) = 3339

Solving
10x + x2 = 3339

Solving for variable 'x'.

Reorder the terms:
-3339 + 10x + x2 = 3339 + -3339

Combine like terms: 3339 + -3339 = 0
-3339 + 10x + x2 = 0

Factor a trinomial.
(-63 + -1x)(53 + -1x) = 0

Subproblem 1

Set the factor '(-63 + -1x)' equal to zero and attempt to solve: Simplifying -63 + -1x = 0 Solving -63 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -1x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -1x = 0 + 63 -1x = 0 + 63 Combine like terms: 0 + 63 = 63 -1x = 63 Divide each side by '-1'. x = -63 Simplifying x = -63

Subproblem 2

Set the factor '(53 + -1x)' equal to zero and attempt to solve: Simplifying 53 + -1x = 0 Solving 53 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -1x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -1x = 0 + -53 -1x = 0 + -53 Combine like terms: 0 + -53 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53

Solution

x = {-63, 53}

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