48=x^2-2x

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


Simplifying
48 = x2 + -2x

Reorder the terms:
48 = -2x + x2

Solving
48 = -2x + x2

Solving for variable 'x'.

Reorder the terms:
48 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
48 + 2x + -1x2 = 0 + x2 + -1x2
48 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + 2x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(6 + x) = 0

Subproblem 1

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {8, -6}

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