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Simplifying (3xy2) + (2x) + (4y2) + -1(7xy2) = 0 Remove parenthesis around (7xy2) (3xy2) + (2x) + (4y2) + -1 * 7xy2 = 0 Multiply -1 * 7 (3xy2) + (2x) + (4y2) + -7xy2 = 0 Reorder the terms: (2x) + (3xy2) + -7xy2 + (4y2) = 0 Combine like terms: (3xy2) + -7xy2 = -4xy2 (2x) + -4xy2 + (4y2) = 0 Solving (2x) + -4xy2 + (4y2) = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-4y2)' to each side of the equation. (2x) + -4xy2 + (4y2) + (-4y2) = 0 + (-4y2) Combine like terms: (4y2) + (-4y2) = 0 (2x) + -4xy2 + 0 = 0 + (-4y2) (2x) + -4xy2 = 0 + (-4y2) Remove the zero: (2x) + -4xy2 = (-4y2) Combine like terms: (-4y2) + (4y2) = 0 (2x) + -4xy2 + (4y2) = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + -2xy2 + (2y2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -2xy2 + (2y2))' equal to zero and attempt to solve: Simplifying x + -2xy2 + (2y2) = 0 Solving x + -2xy2 + (2y2) = 0 Move all terms containing x to the left, all other terms to the right. Add '(-2y2)' to each side of the equation. x + -2xy2 + (2y2) + (-2y2) = 0 + (-2y2) Combine like terms: (2y2) + (-2y2) = 0 x + -2xy2 + 0 = 0 + (-2y2) x + -2xy2 = 0 + (-2y2) Remove the zero: x + -2xy2 = (-2y2) The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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