(4b-3)(b-7)=

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Solution for (4b-3)(b-7)= equation:


Simplifying
(4b + -3)(b + -7) = 0

Reorder the terms:
(-3 + 4b)(b + -7) = 0

Reorder the terms:
(-3 + 4b)(-7 + b) = 0

Multiply (-3 + 4b) * (-7 + b)
(-3(-7 + b) + 4b * (-7 + b)) = 0
((-7 * -3 + b * -3) + 4b * (-7 + b)) = 0
((21 + -3b) + 4b * (-7 + b)) = 0
(21 + -3b + (-7 * 4b + b * 4b)) = 0
(21 + -3b + (-28b + 4b2)) = 0

Combine like terms: -3b + -28b = -31b
(21 + -31b + 4b2) = 0

Solving
21 + -31b + 4b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -4b)(7 + -1b) = 0

Subproblem 1

Set the factor '(3 + -4b)' equal to zero and attempt to solve: Simplifying 3 + -4b = 0 Solving 3 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = 0 + -3 -4b = 0 + -3 Combine like terms: 0 + -3 = -3 -4b = -3 Divide each side by '-4'. b = 0.75 Simplifying b = 0.75

Subproblem 2

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

Solution

b = {0.75, 7}

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