7b(-4b^2)+3b(-b)=

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Solution for 7b(-4b^2)+3b(-b)= equation:


Simplifying
7b(-4b2) + 3b(-1b) = 0

Remove parenthesis around (-4b2)
7b * -4b2 + 3b(-1b) = 0

Reorder the terms for easier multiplication:
7 * -4b * b2 + 3b(-1b) = 0

Multiply 7 * -4
-28b * b2 + 3b(-1b) = 0

Multiply b * b2
-28b3 + 3b(-1b) = 0

Remove parenthesis around (-1b)
-28b3 + 3b * -1b = 0

Reorder the terms for easier multiplication:
-28b3 + 3 * -1b * b = 0

Multiply 3 * -1
-28b3 + -3b * b = 0

Multiply b * b
-28b3 + -3b2 = 0

Reorder the terms:
-3b2 + -28b3 = 0

Solving
-3b2 + -28b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-1b2'.
-1b2(3 + 28b) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}

Subproblem 2

Set the factor '(3 + 28b)' equal to zero and attempt to solve: Simplifying 3 + 28b = 0 Solving 3 + 28b = 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 + 28b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 28b = 0 + -3 28b = 0 + -3 Combine like terms: 0 + -3 = -3 28b = -3 Divide each side by '28'. b = -0.1071428571 Simplifying b = -0.1071428571

Solution

b = {0, -0.1071428571}

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