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Simplifying m(y + 1) * x2 + 4(y + 1) * mx + 4(y + 1) * m = 0 Reorder the terms: m(1 + y) * x2 + 4(y + 1) * mx + 4(y + 1) * m = 0 Reorder the terms for easier multiplication: m * x2(1 + y) + 4(y + 1) * mx + 4(y + 1) * m = 0 Multiply m * x2 mx2(1 + y) + 4(y + 1) * mx + 4(y + 1) * m = 0 (1 * mx2 + y * mx2) + 4(y + 1) * mx + 4(y + 1) * m = 0 (1mx2 + mx2y) + 4(y + 1) * mx + 4(y + 1) * m = 0 Reorder the terms: 1mx2 + mx2y + 4(1 + y) * mx + 4(y + 1) * m = 0 Reorder the terms for easier multiplication: 1mx2 + mx2y + 4mx(1 + y) + 4(y + 1) * m = 0 1mx2 + mx2y + (1 * 4mx + y * 4mx) + 4(y + 1) * m = 0 1mx2 + mx2y + (4mx + 4mxy) + 4(y + 1) * m = 0 Reorder the terms: 1mx2 + mx2y + 4mx + 4mxy + 4(1 + y) * m = 0 Reorder the terms for easier multiplication: 1mx2 + mx2y + 4mx + 4mxy + 4m(1 + y) = 0 1mx2 + mx2y + 4mx + 4mxy + (1 * 4m + y * 4m) = 0 1mx2 + mx2y + 4mx + 4mxy + (4m + 4my) = 0 Reorder the terms: 4m + 4mx + 4mxy + 1mx2 + mx2y + 4my = 0 Solving 4m + 4mx + 4mxy + 1mx2 + mx2y + 4my = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'm'. m(4 + 4x + 4xy + x2 + x2y + 4y) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(4 + 4x + 4xy + x2 + x2y + 4y)' equal to zero and attempt to solve: Simplifying 4 + 4x + 4xy + x2 + x2y + 4y = 0 Solving 4 + 4x + 4xy + x2 + x2y + 4y = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4x + 4xy + x2 + x2y + -4 + 4y = 0 + -4 Reorder the terms: 4 + -4 + 4x + 4xy + x2 + x2y + 4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x + 4xy + x2 + x2y + 4y = 0 + -4 4x + 4xy + x2 + x2y + 4y = 0 + -4 Combine like terms: 0 + -4 = -4 4x + 4xy + x2 + x2y + 4y = -4 Add '-4x' to each side of the equation. 4x + 4xy + x2 + x2y + -4x + 4y = -4 + -4x Reorder the terms: 4x + -4x + 4xy + x2 + x2y + 4y = -4 + -4x Combine like terms: 4x + -4x = 0 0 + 4xy + x2 + x2y + 4y = -4 + -4x 4xy + x2 + x2y + 4y = -4 + -4x Add '-4xy' to each side of the equation. 4xy + x2 + x2y + -4xy + 4y = -4 + -4x + -4xy Reorder the terms: 4xy + -4xy + x2 + x2y + 4y = -4 + -4x + -4xy Combine like terms: 4xy + -4xy = 0 0 + x2 + x2y + 4y = -4 + -4x + -4xy x2 + x2y + 4y = -4 + -4x + -4xy Add '-1x2' to each side of the equation. x2 + x2y + -1x2 + 4y = -4 + -4x + -4xy + -1x2 Reorder the terms: x2 + -1x2 + x2y + 4y = -4 + -4x + -4xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + x2y + 4y = -4 + -4x + -4xy + -1x2 x2y + 4y = -4 + -4x + -4xy + -1x2 Add '-1x2y' to each side of the equation. x2y + -1x2y + 4y = -4 + -4x + -4xy + -1x2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + 4y = -4 + -4x + -4xy + -1x2 + -1x2y 4y = -4 + -4x + -4xy + -1x2 + -1x2y Add '-4y' to each side of the equation. 4y + -4y = -4 + -4x + -4xy + -1x2 + -1x2y + -4y Combine like terms: 4y + -4y = 0 0 = -4 + -4x + -4xy + -1x2 + -1x2y + -4y Simplifying 0 = -4 + -4x + -4xy + -1x2 + -1x2y + -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
| 2y=3(6x-1)-10 | | 5z-3=2(z-6) | | 2x^2+x=153 | | 12s-18s-19s-13s+-6=18 | | 5+8lnx=9 | | 3(x-8)=4x-6 | | 5h+2h-h-2h-3h=14 | | 3y+y+2y+3y+2=20 | | (-2)(-8)(-1)(-4)= | | -4/7+y=-2/3 | | 5+6x=3x-16 | | 5=0.167+-0.67 | | 8/6=6 | | .3x^2=.6x+.3 | | -2/5=-2/3+s | | x-x/3=2 | | 3-9/6 | | (-5)(1)(-2)(4)(-6)= | | 3/9=x/8 | | 2x^2=13x+15 | | x+x/2=3 | | 6b+-18b+-18b-5b+17b+-15=-7 | | 30x-4000=1000 | | D/6=42 | | 7n+2n-9n+2n-2=14 | | (-2)(-5)(-9)= | | y^2-16y=36 | | 50m-38m-8m-17m+-16=47 | | 33+15w=3-w+4w | | x+x2=3 | | -3x^7y^8(3xz^6+2y^2-4z^2)= | | -7w+3(w+4)=24 |