x^2-16x+56=-8

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Solution for x^2-16x+56=-8 equation:


Simplifying
x2 + -16x + 56 = -8

Reorder the terms:
56 + -16x + x2 = -8

Solving
56 + -16x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
56 + 8 + -16x + x2 = -8 + 8

Combine like terms: 56 + 8 = 64
64 + -16x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
64 + -16x + x2 = 0

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

Solution

x = {8, 8}

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