x^2-16x+86=23

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Solution for x^2-16x+86=23 equation:


Simplifying
x2 + -16x + 86 = 23

Reorder the terms:
86 + -16x + x2 = 23

Solving
86 + -16x + x2 = 23

Solving for variable 'x'.

Reorder the terms:
86 + -23 + -16x + x2 = 23 + -23

Combine like terms: 86 + -23 = 63
63 + -16x + x2 = 23 + -23

Combine like terms: 23 + -23 = 0
63 + -16x + x2 = 0

Factor a trinomial.
(7 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {7, 9}

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