y^2+25+10y=4

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Solution for y^2+25+10y=4 equation:


Simplifying
y2 + 25 + 10y = 4

Reorder the terms:
25 + 10y + y2 = 4

Solving
25 + 10y + y2 = 4

Solving for variable 'y'.

Reorder the terms:
25 + -4 + 10y + y2 = 4 + -4

Combine like terms: 25 + -4 = 21
21 + 10y + y2 = 4 + -4

Combine like terms: 4 + -4 = 0
21 + 10y + y2 = 0

Factor a trinomial.
(7 + y)(3 + y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Solution

y = {-7, -3}

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