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Simplifying 4x(3x2 + 5y) = x (3x2 * 4x + 5y * 4x) = x Reorder the terms: (20xy + 12x3) = x (20xy + 12x3) = x Solving 20xy + 12x3 = x Solving for variable 'x'. Reorder the terms: -1x + 20xy + 12x3 = x + -1x Combine like terms: x + -1x = 0 -1x + 20xy + 12x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 20y + 12x2) = 0Subproblem 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 '(-1 + 20y + 12x2)' equal to zero and attempt to solve: Simplifying -1 + 20y + 12x2 = 0 Reorder the terms: -1 + 12x2 + 20y = 0 Solving -1 + 12x2 + 20y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 12x2 + 1 + 20y = 0 + 1 Reorder the terms: -1 + 1 + 12x2 + 20y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12x2 + 20y = 0 + 1 12x2 + 20y = 0 + 1 Combine like terms: 0 + 1 = 1 12x2 + 20y = 1 Add '-20y' to each side of the equation. 12x2 + 20y + -20y = 1 + -20y Combine like terms: 20y + -20y = 0 12x2 + 0 = 1 + -20y 12x2 = 1 + -20y Divide each side by '12'. x2 = 0.08333333333 + -1.666666667y Simplifying x2 = 0.08333333333 + -1.666666667y 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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