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Simplifying 5x4 + -20x3 + 35x2 = 0 Reorder the terms: 35x2 + -20x3 + 5x4 = 0 Solving 35x2 + -20x3 + 5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(7 + -4x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(7 + -4x + x2)' equal to zero and attempt to solve: Simplifying 7 + -4x + x2 = 0 Solving 7 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -4x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -4x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x + x2 = 0 + -7 -4x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4x + x2 = -7 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -7 + 4 Reorder the terms: 4 + -4x + x2 = -7 + 4 Combine like terms: -7 + 4 = -3 4 + -4x + x2 = -3 Factor a perfect square on the left side: (x + -2)(x + -2) = -3 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}
| nx+ln(2x+1)=0 | | 29y+y=180 | | 8x+1x-1x=80 | | X+1=3+5x | | sqrt(3xy)*(sqrt(2x^3y^4))= | | 3n-3=-6 | | 2x=-3y+7 | | Z+8+3=-4 | | 1+15.2=-4.5 | | 2r^2y-4ry= | | y=2.5+-1.5x | | 6w+4w+18=8w+4 | | 11x=4x-7+x | | 3xwhat=132 | | 12b^5+4b= | | 2x+7+x+30=180 | | 7x-1x=36 | | -3-v=-6 | | 2x+7+x+30=90 | | 143-10x=93 | | 16(j+-8)=12j | | x+6x-290=180 | | 4x^4-12x^3+13x^2-20=0 | | 2x(x-4)(5x+4)=0 | | 2.5-n=1.8 | | 5.3(4.4-7.3x)-7.5(4.6x+6.5)=-54.706 | | 3x(4x)(2x)= | | 507.16=-10.3(5.4x-7)-9.9 | | x+6x-290=90 | | 3xy=132 | | 12xwhat=42 | | 5x+5x=120 |