x(x-12)=5440

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Solution for x(x-12)=5440 equation:


Simplifying
x(x + -12) = 5440

Reorder the terms:
x(-12 + x) = 5440
(-12 * x + x * x) = 5440
(-12x + x2) = 5440

Solving
-12x + x2 = 5440

Solving for variable 'x'.

Reorder the terms:
-5440 + -12x + x2 = 5440 + -5440

Combine like terms: 5440 + -5440 = 0
-5440 + -12x + x2 = 0

Factor a trinomial.
(-68 + -1x)(80 + -1x) = 0

Subproblem 1

Set the factor '(-68 + -1x)' equal to zero and attempt to solve: Simplifying -68 + -1x = 0 Solving -68 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -1x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -1x = 0 + 68 -1x = 0 + 68 Combine like terms: 0 + 68 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68

Subproblem 2

Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80

Solution

x = {-68, 80}

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