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Simplifying 4xy2 + 7x3y2 + -1(6xy2 + 3x3y2) = 0 4xy2 + 7x3y2 + (6xy2 * -1 + 3x3y2 * -1) = 0 4xy2 + 7x3y2 + (-6xy2 + -3x3y2) = 0 Reorder the terms: 4xy2 + -6xy2 + 7x3y2 + -3x3y2 = 0 Combine like terms: 4xy2 + -6xy2 = -2xy2 -2xy2 + 7x3y2 + -3x3y2 = 0 Combine like terms: 7x3y2 + -3x3y2 = 4x3y2 -2xy2 + 4x3y2 = 0 Solving -2xy2 + 4x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy2'. 2xy2(-1 + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(-1 + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 2x2 = 0 Solving -1 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x2 = 0 + 1 2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2x2 = 1 Divide each side by '2'. x2 = 0.5 Simplifying x2 = 0.5 Take the square root of each side: x = {-0.707106781, 0.707106781}Solution
x = {-0.707106781, 0.707106781}
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