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Simplifying 192b2 + 28b2 = 7b4 Combine like terms: 192b2 + 28b2 = 220b2 220b2 = 7b4 Solving 220b2 = 7b4 Solving for variable 'b'. Combine like terms: 7b4 + -7b4 = 0 220b2 + -7b4 = 0 Factor out the Greatest Common Factor (GCF), 'b2'. b2(220 + -7b2) = 0Subproblem 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 '(220 + -7b2)' equal to zero and attempt to solve: Simplifying 220 + -7b2 = 0 Solving 220 + -7b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-220' to each side of the equation. 220 + -220 + -7b2 = 0 + -220 Combine like terms: 220 + -220 = 0 0 + -7b2 = 0 + -220 -7b2 = 0 + -220 Combine like terms: 0 + -220 = -220 -7b2 = -220 Divide each side by '-7'. b2 = 31.42857143 Simplifying b2 = 31.42857143 Take the square root of each side: b = {-5.606119106, 5.606119106}Solution
b = {0, -5.606119106, 5.606119106}
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