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Simplifying 14x3 + 6x2 + 8x = 0 Reorder the terms: 8x + 6x2 + 14x3 = 0 Solving 8x + 6x2 + 14x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + 3x + 7x2) = 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 + 7x2)' equal to zero and attempt to solve: Simplifying 4 + 3x + 7x2 = 0 Solving 4 + 3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 0.4285714286x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 0.4285714286x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 0.4285714286x + x2 = 0 + -0.5714285714 0.4285714286x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 0.4285714286x + x2 = -0.5714285714 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -0.5714285714 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -0.5714285714 + 0.04591836735 Combine like terms: -0.5714285714 + 0.04591836735 = -0.52551020405 0.04591836735 + 0.4285714286x + x2 = -0.52551020405 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -0.52551020405 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}
| j-1/5=5/8 | | 3(1+5K)=18 | | 2cos^2*(4x)-1=0 | | (2x+58)=(8x+10) | | 2=2-4(k-4) | | 418=u-152 | | 13x+5=5x+7 | | (3x-28)+(66-x)=180 | | 3x-3=5+x | | m+5m-9m-2= | | ln(a)=ln(0.00160)-(0.560)(835) | | -(p-3)=3 | | -5/3w=25 | | 5x+3=7+3x | | s-32=79 | | 11y-22=7y-6 | | (6x)+12=(6)+2 | | 4ax+3a= | | y-49=112 | | h=-16t^2+64t+32 | | 2.5(5x+35)=12 | | 4x+5+8x+5+2x+2=180 | | 96/19=-8s | | 12x-99=9-57 | | 7n^3+35n^2+28= | | -3z-8z=2z+2-6z | | 12-y=42 | | 2(5x-4)=8x+0 | | -6-x=2-3x | | X+200.00=900.00 | | 15+w=17.25 | | 1/7x=2/5 |