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Simplifying 6b2 + -13b + -3 = -3 Reorder the terms: -3 + -13b + 6b2 = -3 Add '3' to each side of the equation. -3 + -13b + 3 + 6b2 = -3 + 3 Reorder the terms: -3 + 3 + -13b + 6b2 = -3 + 3 Combine like terms: -3 + 3 = 0 0 + -13b + 6b2 = -3 + 3 -13b + 6b2 = -3 + 3 Combine like terms: -3 + 3 = 0 -13b + 6b2 = 0 Solving -13b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-13 + 6b) = 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 '(-13 + 6b)' equal to zero and attempt to solve: Simplifying -13 + 6b = 0 Solving -13 + 6b = 0 Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6b = 0 + 13 6b = 0 + 13 Combine like terms: 0 + 13 = 13 6b = 13 Divide each side by '6'. b = 2.166666667 Simplifying b = 2.166666667Solution
b = {0, 2.166666667}
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