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Simplifying 3y2 + -3x = (3x * 2y) + -18 Reorder the terms: -3x + 3y2 = (3x * 2y) + -18 Reorder the terms for easier multiplication: -3x + 3y2 = (3 * 2x * y) + -18 Multiply 3 * 2 -3x + 3y2 = (6x * y) + -18 Multiply x * y -3x + 3y2 = (6xy) + -18 Reorder the terms: -3x + 3y2 = -18 + (6xy) Solving -3x + 3y2 = -18 + (6xy) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-6xy)' to each side of the equation. -3x + (-6xy) + 3y2 = -18 + (6xy) + (-6xy) Combine like terms: (6xy) + (-6xy) = 0 -3x + (-6xy) + 3y2 = -18 + 0 -3x + (-6xy) + 3y2 = -18 Add '-3y2' to each side of the equation. -3x + (-6xy) + 3y2 + -3y2 = -18 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -3x + (-6xy) + 0 = -18 + -3y2 -3x + (-6xy) = -18 + -3y2 Reorder the terms: 18 + -3x + (-6xy) + 3y2 = -18 + -3y2 + 18 + 3y2 Reorder the terms: 18 + -3x + (-6xy) + 3y2 = -18 + 18 + -3y2 + 3y2 Combine like terms: -18 + 18 = 0 18 + -3x + (-6xy) + 3y2 = 0 + -3y2 + 3y2 18 + -3x + (-6xy) + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 18 + -3x + (-6xy) + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -1x + (-2xy) + y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -1x + (-2xy) + y2)' equal to zero and attempt to solve: Simplifying 6 + -1x + (-2xy) + y2 = 0 Solving 6 + -1x + (-2xy) + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1x + (-2xy) + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + -1x + (-2xy) + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x + (-2xy) + y2 = 0 + -6 -1x + (-2xy) + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x + (-2xy) + y2 = -6 Add '-1y2' to each side of the equation. -1x + (-2xy) + y2 + -1y2 = -6 + -1y2 Combine like terms: y2 + -1y2 = 0 -1x + (-2xy) + 0 = -6 + -1y2 -1x + (-2xy) = -6 + -1y2 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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