15x-54=x^2

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Solution for 15x-54=x^2 equation:


Simplifying
15x + -54 = x2

Reorder the terms:
-54 + 15x = x2

Solving
-54 + 15x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-54 + 15x + -1x2 = 0

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

Subproblem 1

Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9

Subproblem 2

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

Solution

x = {9, 6}

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