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Simplifying (5y + 6x2) * 7x = 0 Reorder the terms: (6x2 + 5y) * 7x = 0 Reorder the terms for easier multiplication: 7x(6x2 + 5y) = 0 (6x2 * 7x + 5y * 7x) = 0 Reorder the terms: (35xy + 42x3) = 0 (35xy + 42x3) = 0 Solving 35xy + 42x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(5y + 6x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5y + 6x2)' equal to zero and attempt to solve: Simplifying 5y + 6x2 = 0 Reorder the terms: 6x2 + 5y = 0 Solving 6x2 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 6x2 + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 6x2 + 0 = 0 + -5y 6x2 = 0 + -5y Remove the zero: 6x2 = -5y Divide each side by '6'. x2 = -0.8333333333y Simplifying x2 = -0.8333333333y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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