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Simplifying 28w7 + -102w5 = 0 Reorder the terms: -102w5 + 28w7 = 0 Solving -102w5 + 28w7 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w5'. 2w5(-51 + 14w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'w5' equal to zero and attempt to solve: Simplifying w5 = 0 Solving w5 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-51 + 14w2)' equal to zero and attempt to solve: Simplifying -51 + 14w2 = 0 Solving -51 + 14w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 14w2 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 14w2 = 0 + 51 14w2 = 0 + 51 Combine like terms: 0 + 51 = 51 14w2 = 51 Divide each side by '14'. w2 = 3.642857143 Simplifying w2 = 3.642857143 Take the square root of each side: w = {-1.908627031, 1.908627031}Solution
w = {-1.908627031, 1.908627031}
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