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Simplifying 4x3 + 12x2 + 36x = 0 Reorder the terms: 36x + 12x2 + 4x3 = 0 Solving 36x + 12x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(9 + 3x + x2) = 0 Ignore the factor 4.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 '(9 + 3x + x2)' equal to zero and attempt to solve: Simplifying 9 + 3x + x2 = 0 Solving 9 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 3x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 3x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3x + x2 = 0 + -9 3x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 3x + x2 = -9 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 = -9 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -9 + 2.25 Combine like terms: -9 + 2.25 = -6.75 2.25 + 3x + x2 = -6.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -6.75 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}
| 2.5(15x-20)=3(3x-4) | | 7z+1=18-4 | | -4ln(x)+3=4 | | 3(3+7+x)= | | 4p-(7-4p)=6p+5 | | 6x^2=4(x+4) | | 180=4x+2(6x+10) | | 10h+6-5h+3 | | 3x+5x=7x-2 | | 3x-72+9x=108 | | 2(4y-2)=12 | | 7=-3d-2 | | 5(x+12)=2(6x+16)= | | N+1-3n=5+n+2-2n | | -2r+14=10 | | -22=6+4r | | 5x-(9x+14)=3(x+10)-2 | | X^2+-c=0 | | -12.42=-0.03p | | x^4-4x^3+2x^2+x-4=0 | | (-75)-k=-95 | | -68+4x=19+x | | 3[q-5]=2[q+5] | | a2+9a+2a | | 4x-6=-3+1-2x+8x | | 3(x+3)-5=32 | | 12c-13=35 | | -3n+3=-9 | | f(x)=2x^2-7x+4 | | x+2*2x-4=2x-1*x | | -3x=-(6-2x) | | 19.95+10x=139.95 |