16x-x^2=48

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Solution for 16x-x^2=48 equation:


Simplifying
16x + -1x2 = 48

Solving
16x + -1x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 16x + -1x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 16x + -1x2 = 0

Factor a trinomial.
(-12 + x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {12, 4}

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