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Simplifying 2x(4x + -3y + 2z) = 0 (4x * 2x + -3y * 2x + 2z * 2x) = 0 Reorder the terms: (-6xy + 4xz + 8x2) = 0 (-6xy + 4xz + 8x2) = 0 Solving -6xy + 4xz + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3y + 2z + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3y + 2z + 4x)' equal to zero and attempt to solve: Simplifying -3y + 2z + 4x = 0 Reorder the terms: 4x + -3y + 2z = 0 Solving 4x + -3y + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y + 2z = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 + 2z = 0 + 3y 4x + 2z = 0 + 3y Remove the zero: 4x + 2z = 3y Add '-2z' to each side of the equation. 4x + 2z + -2z = 3y + -2z Combine like terms: 2z + -2z = 0 4x + 0 = 3y + -2z 4x = 3y + -2z Divide each side by '4'. x = 0.75y + -0.5z Simplifying x = 0.75y + -0.5zSolution
x = {0, 0.75y + -0.5z}
| x+31=958 | | 4x+14+2x+16=z | | 3v^2+4v-3=0 | | 2x-4=2x- | | 9x-2*1=16 | | 2*1+3y=17 | | (x+2i)*(y-i)=-4-7i | | 6x^2-2=166 | | x+x+4+2(x-3)=57 | | p^2+16p+64=0 | | w+7.76=12.76 | | 47(x+5)=310 | | w+12.76=7.76 | | 3x+2y+6z= | | -20x+75=-25 | | w-7.76=12.76 | | 5x+25(20-x)=305 | | w-12.76=7.76 | | 5x-10x+8=-7 | | 1.15a+3.5-20d=19.7 | | ln(4x+2)=ln(2x+4) | | 0.14w=0.70 | | 5x+27+y+1=z | | 35k*k-22k+7=4 | | 4x^2-2x+9y^2-6y^2= | | w/-0.25=14.5+14.5 | | -8x-6y=6 | | 16/20=8/w | | 7k*k-6k+3=3 | | 25.4+w=23.25+9.4 | | 47(x-5)=310 | | 15.5/77.5=1.7/8.5 |