x^2+7*x=260

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Solution for x^2+7*x=260 equation:


Simplifying
x2 + 7x = 260

Reorder the terms:
7x + x2 = 260

Solving
7x + x2 = 260

Solving for variable 'x'.

Reorder the terms:
-260 + 7x + x2 = 260 + -260

Combine like terms: 260 + -260 = 0
-260 + 7x + x2 = 0

Factor a trinomial.
(-20 + -1x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-20, 13}

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