5b^2-b+4=b+4

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Solution for 5b^2-b+4=b+4 equation:


Simplifying
5b2 + -1b + 4 = b + 4

Reorder the terms:
4 + -1b + 5b2 = b + 4

Reorder the terms:
4 + -1b + 5b2 = 4 + b

Add '-4' to each side of the equation.
4 + -1b + -4 + 5b2 = 4 + -4 + b

Reorder the terms:
4 + -4 + -1b + 5b2 = 4 + -4 + b

Combine like terms: 4 + -4 = 0
0 + -1b + 5b2 = 4 + -4 + b
-1b + 5b2 = 4 + -4 + b

Combine like terms: 4 + -4 = 0
-1b + 5b2 = 0 + b
-1b + 5b2 = b

Solving
-1b + 5b2 = b

Solving for variable 'b'.

Reorder the terms:
-1b + -1b + 5b2 = b + -1b

Combine like terms: -1b + -1b = -2b
-2b + 5b2 = b + -1b

Combine like terms: b + -1b = 0
-2b + 5b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-2 + 5b) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(-2 + 5b)' equal to zero and attempt to solve: Simplifying -2 + 5b = 0 Solving -2 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5b = 0 + 2 5b = 0 + 2 Combine like terms: 0 + 2 = 2 5b = 2 Divide each side by '5'. b = 0.4 Simplifying b = 0.4

Solution

b = {0, 0.4}

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