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Simplifying 15x3 + -10x2 + 5x = 0 Reorder the terms: 5x + -10x2 + 15x3 = 0 Solving 5x + -10x2 + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + -2x + 3x2) = 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 '(1 + -2x + 3x2)' equal to zero and attempt to solve: Simplifying 1 + -2x + 3x2 = 0 Solving 1 + -2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.6666666667x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.6666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.3333333333 -0.6666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.6666666667x + x2 = -0.3333333333 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -0.3333333333 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.3333333333 + 0.1111111112 Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221 0.1111111112 + -0.6666666667x + x2 = -0.2222222221 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.2222222221 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}
| 10x-7=8x+5 | | x^2+14x=-7 | | v+1+v+1+v+1=v*v | | 9x+5=6x+17 | | 15z-2=4(2z+3) | | 8x-23=73 | | 4x+4=24 | | 4x^2-28x+45=0 | | 10x+7=5x+13 | | 4x^2-23+51=5x+6 | | 2x+17=12x-83 | | (3x-7)+x+13=90 | | 6p+14p=140 | | 6p+149=140 | | 3x+5y=-9 | | 9h=9.3 | | 2x+5=-4x+35 | | 6x^2+17x-28=0 | | 6-0.25f=f-3 | | 7n+6=62 | | 5r+14+3r=2r+38 | | 10x-24=6x+4 | | 3n+5=11 | | 4x^2+27x+35=0 | | x^2+4x-19=2x-4 | | x^2+7x-5=3 | | x^2+7x-5=0 | | 2(3x+5)=40 | | 10=3x+12 | | 3.25+0.25x=20 | | 3.25+0.25x=0 | | -8.6x=68.8 |