=5b^2-36b+7

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Solution for =5b^2-36b+7 equation:


Simplifying
0 = 5b2 + -36b + 7

Reorder the terms:
0 = 7 + -36b + 5b2

Solving
0 = 7 + -36b + 5b2

Solving for variable 'b'.

Combine like terms: 0 + -7 = -7
-7 + 36b + -5b2 = 7 + -36b + 5b2 + -7 + 36b + -5b2

Reorder the terms:
-7 + 36b + -5b2 = 7 + -7 + -36b + 36b + 5b2 + -5b2

Combine like terms: 7 + -7 = 0
-7 + 36b + -5b2 = 0 + -36b + 36b + 5b2 + -5b2
-7 + 36b + -5b2 = -36b + 36b + 5b2 + -5b2

Combine like terms: -36b + 36b = 0
-7 + 36b + -5b2 = 0 + 5b2 + -5b2
-7 + 36b + -5b2 = 5b2 + -5b2

Combine like terms: 5b2 + -5b2 = 0
-7 + 36b + -5b2 = 0

Factor a trinomial.
(-7 + b)(1 + -5b) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -5b)' equal to zero and attempt to solve: Simplifying 1 + -5b = 0 Solving 1 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = 0 + -1 -5b = 0 + -1 Combine like terms: 0 + -1 = -1 -5b = -1 Divide each side by '-5'. b = 0.2 Simplifying b = 0.2

Solution

b = {7, 0.2}

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