b^2x^2=bx+30

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Solution for b^2x^2=bx+30 equation:


Simplifying
b2x2 = bx + 30

Reorder the terms:
b2x2 = 30 + bx

Solving
b2x2 = 30 + bx

Solving for variable 'b'.

Reorder the terms:
-30 + -1bx + b2x2 = 30 + bx + -30 + -1bx

Reorder the terms:
-30 + -1bx + b2x2 = 30 + -30 + bx + -1bx

Combine like terms: 30 + -30 = 0
-30 + -1bx + b2x2 = 0 + bx + -1bx
-30 + -1bx + b2x2 = bx + -1bx

Combine like terms: bx + -1bx = 0
-30 + -1bx + b2x2 = 0

Factor a trinomial.
(-5 + -1bx)(6 + -1bx) = 0

Subproblem 1

Set the factor '(-5 + -1bx)' equal to zero and attempt to solve: Simplifying -5 + -1bx = 0 Solving -5 + -1bx = 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 + -1bx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1bx = 0 + 5 -1bx = 0 + 5 Combine like terms: 0 + 5 = 5 -1bx = 5 Divide each side by '-1x'. b = -5x-1 Simplifying b = -5x-1

Subproblem 2

Set the factor '(6 + -1bx)' equal to zero and attempt to solve: Simplifying 6 + -1bx = 0 Solving 6 + -1bx = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1bx = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1bx = 0 + -6 -1bx = 0 + -6 Combine like terms: 0 + -6 = -6 -1bx = -6 Divide each side by '-1x'. b = 6x-1 Simplifying b = 6x-1

Solution

b = {-5x-1, 6x-1}

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