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Simplifying 2x2 + 6x + 20 = 0 Reorder the terms: 20 + 6x + 2x2 = 0 Solving 20 + 6x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 3x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 3x + x2)' equal to zero and attempt to solve: Simplifying 10 + 3x + x2 = 0 Solving 10 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 3x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 3x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x + x2 = 0 + -10 3x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 3x + x2 = -10 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 = -10 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + 3x + x2 = -7.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -7.75 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. The solution to this equation could not be determined.
| -2.5x+5= | | -2=5x-37 | | 3(8+r)=3r-27 | | 2r-7=3r-14 | | 6(r+5)=r+30 | | 6g+4(-7+4g)=1-g | | 5r-5=5(r-1) | | (3x-3)=6 | | 4(t-7)=12-t | | 4(0.5x+7)=12 | | 3+4=20 | | 12c+14= | | 8z+4-3z=44-3z | | x^4+x^2-14x-8=0 | | x^4+15x^2=0 | | 9x-11=5x+9 | | 20x^2-21x+4.5= | | 2(x+3)=-16 | | 8x-2=20-5x | | (2x+3)(2x+3)=49 | | -5c+3d-3c+8-d= | | -5i(6-4i)= | | 8x-2=10+3x | | (2x+3)2=49 | | 2(3-x)=10-(x+1) | | (7+2i)-(-4-i)= | | 15x^2+10x^2=0 | | x+0.44444444444=0.75 | | x+0.4=0.75 | | 4.25+3.5g=11 | | 4.25x+3.5=11 | | h=38-3t-5t^2 |