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Simplifying 2x3 + -6x2 + 8x = 0 Reorder the terms: 8x + -6x2 + 2x3 = 0 Solving 8x + -6x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + -3x + x2) = 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 '(4 + -3x + x2)' equal to zero and attempt to solve: Simplifying 4 + -3x + x2 = 0 Solving 4 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x + x2 = 0 + -4 -3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x + x2 = -4 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -4 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + -3x + x2 = -1.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| 40x+44(1.5x)=1000 | | 3c+3= | | 0.125x-0.25=1.33333333333 | | 40x+65(1.5x)=1000 | | a/-5=x | | 2(-12m+8)= | | -7(1-3n)=-21 | | 1.5x^2-20x-31=0 | | 40x+75(1.5x)=1000 | | 2(x-6)+2x=4(x+5)-32 | | 12x^2-7x+1= | | 40x+80(1.5x)=1000 | | 40x+60(1.5x)=1000 | | 12r+7=73 | | 10r^2-7r-4=5r^2-8r | | 9x-(3x+8)=8x-10 | | log(2)x=32 | | 75h^3-6h^2+12h= | | 3b-4+6b=17 | | (8x+6)-(7x+9)= | | -16+5n=3-7(-6+8n) | | -38x=12 | | R^2-2r-15/r^2-25 | | 3x-1=4(2x-3) | | 105=2.5N | | 11(12n+18)= | | 7/12n=15 | | 2(3x+12)=4(4-4x)+6 | | 15x+27=2x+40 | | 0.03(2t-6)=0.06(t+1)-0.24 | | 4.2n=124 | | 0.5x+0.7=0.7x-0.1 |