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Simplifying (3y3 + -7y5) * 5y2 = 0 Reorder the terms for easier multiplication: 5y2(3y3 + -7y5) = 0 (3y3 * 5y2 + -7y5 * 5y2) = 0 (15y5 + -35y7) = 0 Solving 15y5 + -35y7 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y5'. 5y5(3 + -7y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve: Simplifying y5 = 0 Solving y5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5 = 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 '(3 + -7y2)' equal to zero and attempt to solve: Simplifying 3 + -7y2 = 0 Solving 3 + -7y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7y2 = 0 + -3 -7y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -7y2 = -3 Divide each side by '-7'. y2 = 0.4285714286 Simplifying y2 = 0.4285714286 Take the square root of each side: y = {-0.654653671, 0.654653671}Solution
y = {-0.654653671, 0.654653671}
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