x^2-3x=550

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Solution for x^2-3x=550 equation:


Simplifying
x2 + -3x = 550

Reorder the terms:
-3x + x2 = 550

Solving
-3x + x2 = 550

Solving for variable 'x'.

Reorder the terms:
-550 + -3x + x2 = 550 + -550

Combine like terms: 550 + -550 = 0
-550 + -3x + x2 = 0

Factor a trinomial.
(-22 + -1x)(25 + -1x) = 0

Subproblem 1

Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22

Subproblem 2

Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25

Solution

x = {-22, 25}

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