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Simplifying (X3 + -3xy2 + 2) * dx + -1(3x2 + -1y + -1y2) * dy = 0 Reorder the terms: (2 + X3 + -3xy2) * dx + -1(3x2 + -1y + -1y2) * dy = 0 Reorder the terms for easier multiplication: dx(2 + X3 + -3xy2) + -1(3x2 + -1y + -1y2) * dy = 0 (2 * dx + X3 * dx + -3xy2 * dx) + -1(3x2 + -1y + -1y2) * dy = 0 (2dx + dxX3 + -3dx2y2) + -1(3x2 + -1y + -1y2) * dy = 0 Reorder the terms for easier multiplication: 2dx + dxX3 + -3dx2y2 + -1dy(3x2 + -1y + -1y2) = 0 2dx + dxX3 + -3dx2y2 + (3x2 * -1dy + -1y * -1dy + -1y2 * -1dy) = 0 2dx + dxX3 + -3dx2y2 + (-3dx2y + 1dy2 + 1dy3) = 0 Reorder the terms: 2dx + dxX3 + -3dx2y + -3dx2y2 + 1dy2 + 1dy3 = 0 Solving 2dx + dxX3 + -3dx2y + -3dx2y2 + 1dy2 + 1dy3 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'd'. d(2x + xX3 + -3x2y + -3x2y2 + y2 + y3) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(2x + xX3 + -3x2y + -3x2y2 + y2 + y3)' equal to zero and attempt to solve: Simplifying 2x + xX3 + -3x2y + -3x2y2 + y2 + y3 = 0 Solving 2x + xX3 + -3x2y + -3x2y2 + y2 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + xX3 + -3x2y + -3x2y2 + y2 + -2x + y3 = 0 + -2x Reorder the terms: 2x + -2x + xX3 + -3x2y + -3x2y2 + y2 + y3 = 0 + -2x Combine like terms: 2x + -2x = 0 0 + xX3 + -3x2y + -3x2y2 + y2 + y3 = 0 + -2x xX3 + -3x2y + -3x2y2 + y2 + y3 = 0 + -2x Remove the zero: xX3 + -3x2y + -3x2y2 + y2 + y3 = -2x Add '-1xX3' to each side of the equation. xX3 + -3x2y + -3x2y2 + y2 + -1xX3 + y3 = -2x + -1xX3 Reorder the terms: xX3 + -1xX3 + -3x2y + -3x2y2 + y2 + y3 = -2x + -1xX3 Combine like terms: xX3 + -1xX3 = 0 0 + -3x2y + -3x2y2 + y2 + y3 = -2x + -1xX3 -3x2y + -3x2y2 + y2 + y3 = -2x + -1xX3 Add '3x2y' to each side of the equation. -3x2y + -3x2y2 + y2 + 3x2y + y3 = -2x + -1xX3 + 3x2y Reorder the terms: -3x2y + 3x2y + -3x2y2 + y2 + y3 = -2x + -1xX3 + 3x2y Combine like terms: -3x2y + 3x2y = 0 0 + -3x2y2 + y2 + y3 = -2x + -1xX3 + 3x2y -3x2y2 + y2 + y3 = -2x + -1xX3 + 3x2y Add '3x2y2' to each side of the equation. -3x2y2 + y2 + 3x2y2 + y3 = -2x + -1xX3 + 3x2y + 3x2y2 Reorder the terms: -3x2y2 + 3x2y2 + y2 + y3 = -2x + -1xX3 + 3x2y + 3x2y2 Combine like terms: -3x2y2 + 3x2y2 = 0 0 + y2 + y3 = -2x + -1xX3 + 3x2y + 3x2y2 y2 + y3 = -2x + -1xX3 + 3x2y + 3x2y2 Add '-1y2' to each side of the equation. y2 + -1y2 + y3 = -2x + -1xX3 + 3x2y + 3x2y2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 + y3 = -2x + -1xX3 + 3x2y + 3x2y2 + -1y2 y3 = -2x + -1xX3 + 3x2y + 3x2y2 + -1y2 Add '-1y3' to each side of the equation. y3 + -1y3 = -2x + -1xX3 + 3x2y + 3x2y2 + -1y2 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -2x + -1xX3 + 3x2y + 3x2y2 + -1y2 + -1y3 Simplifying 0 = -2x + -1xX3 + 3x2y + 3x2y2 + -1y2 + -1y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
| -5s-2s-s=-16 | | 5x^2-45-40x=0 | | x^2+4x^2=36 | | -8m-2=14 | | 9.6+160=-3(9.6)+208 | | 9x+12=5x | | 10r+-10=20 | | -3y-2=16 | | sin^2(x)+2(sin)x+1=0 | | 48x^2=40x | | -7r+3=-25 | | 5p+4=6 | | 9m+2=3m+13 | | 5r-6=9 | | 8(x+1)=7x+23 | | 5r-6=8 | | 7(x+8)=6x+80 | | -4m+2=-14 | | 1.75v=175+233.33+544.44+1270.36+2964.17+6916.4+16138.27+37655.96+v | | 1.75z=175+233.33+544.44+1270.36+2964.17+6916.4+16138.27+z | | 1.75i=233.33+175+544.44+1270.36+2964.17+6916.4+i | | 6+5=8x+19 | | 1.75o=175+233.33+544.44+1270.36+2964.17+o | | 1.75n=175+233.33+544.44+1270.36+n | | f(x)=x^3-9x^2+27x-27 | | -42x=126 | | 1.75m=175+233.33+544.44+m | | 3x+6=3(x+3) | | 1.75y=175+233.33+y | | 1.75c=175+c | | 12x^2+12x-25=0 | | X=1-7 |