-2x^2+x^2-8x+48=0

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Solution for -2x^2+x^2-8x+48=0 equation:


Simplifying
-2x2 + x2 + -8x + 48 = 0

Reorder the terms:
48 + -8x + -2x2 + x2 = 0

Combine like terms: -2x2 + x2 = -1x2
48 + -8x + -1x2 = 0

Solving
48 + -8x + -1x2 = 0

Solving for variable 'x'.

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

Solution

x = {4, -12}

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