2b^2+4b=70

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Solution for 2b^2+4b=70 equation:


Simplifying
2b2 + 4b = 70

Reorder the terms:
4b + 2b2 = 70

Solving
4b + 2b2 = 70

Solving for variable 'b'.

Reorder the terms:
-70 + 4b + 2b2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 4b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 2b + b2) = 0

Factor a trinomial.
2((-7 + -1b)(5 + -1b)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

b = {-7, 5}

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