17x-(x*x)=60

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Solution for 17x-(x*x)=60 equation:


Simplifying
17x + -1(x * x) = 60

Multiply x * x
17x + -1(x2) = 60

Solving
17x + -1x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + 17x + -1x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 17x + -1x2 = 0

Factor a trinomial.
(-12 + x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {12, 5}

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