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Simplifying 35x3 + -25x2 + 40x = 0 Reorder the terms: 40x + -25x2 + 35x3 = 0 Solving 40x + -25x2 + 35x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(8 + -5x + 7x2) = 0 Ignore the factor 5.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 '(8 + -5x + 7x2)' equal to zero and attempt to solve: Simplifying 8 + -5x + 7x2 = 0 Solving 8 + -5x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + -0.7142857143x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -0.7142857143x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -0.7142857143x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -0.7142857143x + x2 = 0 + -1.142857143 -0.7142857143x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -0.7142857143x + x2 = -1.142857143 The x term is -0.7142857143x. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143x + 0.1275510204 + x2 = -1.142857143 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143x + x2 = -1.142857143 + 0.1275510204 Combine like terms: -1.142857143 + 0.1275510204 = -1.0153061226 0.1275510204 + -0.7142857143x + x2 = -1.0153061226 Factor a perfect square on the left side: (x + -0.3571428572)(x + -0.3571428572) = -1.0153061226 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}
| -5(2n+3)=10 | | -7(0.2x+0.3)-3.7=-0.2 | | 3(x+2)+15= | | 5(7x+9)-2(3x-7)= | | x*0.04=1750 | | 2x+1.8=6.6 | | 16x^3-48x^2-25x+75= | | 2y-6+5y-9= | | x-22=1 | | -7(2h+9)=-19 | | 11+13+7=30 | | -3.1x=x+32.8 | | 3x+12=8x+5 | | 4x+7y+7= | | 16=-9+3(s-4) | | 6w^2-486= | | 3y+7+5y+17+2y+5y= | | 72.77=c+37.52 | | 4c^2-20c+25= | | 6x+10y=4108 | | 5-n=2n+3.2 | | 2(5x+3)-(4x-1)= | | 15a+18= | | 5x=x+33.6 | | 25u^2-20u+4= | | 3(4x-1)-2(5x-3)= | | 16=-7+4(k-6) | | 5x=33.6+n | | 20985-6995=x | | f(x)=-8x^2+5x+7 | | 5.33b-4.8=5.29b-2.6 | | 200=(x)(x+10) |