x^2-14x=240

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Solution for x^2-14x=240 equation:


Simplifying
x2 + -14x = 240

Reorder the terms:
-14x + x2 = 240

Solving
-14x + x2 = 240

Solving for variable 'x'.

Reorder the terms:
-240 + -14x + x2 = 240 + -240

Combine like terms: 240 + -240 = 0
-240 + -14x + x2 = 0

Factor a trinomial.
(-10 + -1x)(24 + -1x) = 0

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Solution

x = {-10, 24}

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