x(x-15)=-54

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Solution for x(x-15)=-54 equation:


Simplifying
x(x + -15) = -54

Reorder the terms:
x(-15 + x) = -54
(-15 * x + x * x) = -54
(-15x + x2) = -54

Solving
-15x + x2 = -54

Solving for variable 'x'.

Reorder the terms:
54 + -15x + x2 = -54 + 54

Combine like terms: -54 + 54 = 0
54 + -15x + x2 = 0

Factor a trinomial.
(6 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {6, 9}

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