7y(y+7)-2(y+7)=

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Solution for 7y(y+7)-2(y+7)= equation:


Simplifying
7y(y + 7) + -2(y + 7) = 0

Reorder the terms:
7y(7 + y) + -2(y + 7) = 0
(7 * 7y + y * 7y) + -2(y + 7) = 0
(49y + 7y2) + -2(y + 7) = 0

Reorder the terms:
49y + 7y2 + -2(7 + y) = 0
49y + 7y2 + (7 * -2 + y * -2) = 0
49y + 7y2 + (-14 + -2y) = 0

Reorder the terms:
-14 + 49y + -2y + 7y2 = 0

Combine like terms: 49y + -2y = 47y
-14 + 47y + 7y2 = 0

Solving
-14 + 47y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(2 + -7y) = 0

Subproblem 1

Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 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 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7

Subproblem 2

Set the factor '(2 + -7y)' equal to zero and attempt to solve: Simplifying 2 + -7y = 0 Solving 2 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7y = 0 + -2 -7y = 0 + -2 Combine like terms: 0 + -2 = -2 -7y = -2 Divide each side by '-7'. y = 0.2857142857 Simplifying y = 0.2857142857

Solution

y = {-7, 0.2857142857}

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