y^2-14y+49=4

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Solution for y^2-14y+49=4 equation:


Simplifying
y2 + -14y + 49 = 4

Reorder the terms:
49 + -14y + y2 = 4

Solving
49 + -14y + y2 = 4

Solving for variable 'y'.

Reorder the terms:
49 + -4 + -14y + y2 = 4 + -4

Combine like terms: 49 + -4 = 45
45 + -14y + y2 = 4 + -4

Combine like terms: 4 + -4 = 0
45 + -14y + y2 = 0

Factor a trinomial.
(5 + -1y)(9 + -1y) = 0

Subproblem 1

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Subproblem 2

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

Solution

y = {5, 9}

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