48=16x-x^2

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


Simplifying
48 = 16x + -1x2

Solving
48 = 16x + -1x2

Solving for variable 'x'.

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

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

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

Factor a trinomial.
(4 + -1x)(12 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {4, 12}

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