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Simplifying -7b(-3b) = -10b Remove parenthesis around (-3b) -7b * -3b = -10b Reorder the terms for easier multiplication: -7 * -3b * b = -10b Multiply -7 * -3 21b * b = -10b Multiply b * b 21b2 = -10b Solving 21b2 = -10b Solving for variable 'b'. Reorder the terms: 10b + 21b2 = -10b + 10b Combine like terms: -10b + 10b = 0 10b + 21b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(10 + 21b) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(10 + 21b)' equal to zero and attempt to solve: Simplifying 10 + 21b = 0 Solving 10 + 21b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 21b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 21b = 0 + -10 21b = 0 + -10 Combine like terms: 0 + -10 = -10 21b = -10 Divide each side by '21'. b = -0.4761904762 Simplifying b = -0.4761904762Solution
b = {0, -0.4761904762}
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