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Simplifying 6m(x2 + -1y) + 3(x2 + -1y) = 0 (x2 * 6m + -1y * 6m) + 3(x2 + -1y) = 0 (6mx2 + -6my) + 3(x2 + -1y) = 0 6mx2 + -6my + (x2 * 3 + -1y * 3) = 0 6mx2 + -6my + (3x2 + -3y) = 0 Solving 6mx2 + -6my + 3x2 + -3y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3x2' to each side of the equation. 6mx2 + -6my + 3x2 + -3x2 + -3y = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6mx2 + -6my + 0 + -3y = 0 + -3x2 6mx2 + -6my + -3y = 0 + -3x2 Remove the zero: 6mx2 + -6my + -3y = -3x2 Add '3y' to each side of the equation. 6mx2 + -6my + -3y + 3y = -3x2 + 3y Combine like terms: -3y + 3y = 0 6mx2 + -6my + 0 = -3x2 + 3y 6mx2 + -6my = -3x2 + 3y Reorder the terms: 6mx2 + -6my + 3x2 + -3y = -3x2 + 3x2 + 3y + -3y Combine like terms: -3x2 + 3x2 = 0 6mx2 + -6my + 3x2 + -3y = 0 + 3y + -3y 6mx2 + -6my + 3x2 + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 6mx2 + -6my + 3x2 + -3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2mx2 + -2my + x2 + -1y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2mx2 + -2my + x2 + -1y)' equal to zero and attempt to solve: Simplifying 2mx2 + -2my + x2 + -1y = 0 Solving 2mx2 + -2my + x2 + -1y = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x2' to each side of the equation. 2mx2 + -2my + x2 + -1x2 + -1y = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 2mx2 + -2my + 0 + -1y = 0 + -1x2 2mx2 + -2my + -1y = 0 + -1x2 Remove the zero: 2mx2 + -2my + -1y = -1x2 Add 'y' to each side of the equation. 2mx2 + -2my + -1y + y = -1x2 + y Combine like terms: -1y + y = 0 2mx2 + -2my + 0 = -1x2 + y 2mx2 + -2my = -1x2 + y 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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