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Simplifying 4x2 + 20x + 25 = -7 Reorder the terms: 25 + 20x + 4x2 = -7 Solving 25 + 20x + 4x2 = -7 Solving for variable 'x'. Reorder the terms: 25 + 7 + 20x + 4x2 = -7 + 7 Combine like terms: 25 + 7 = 32 32 + 20x + 4x2 = -7 + 7 Combine like terms: -7 + 7 = 0 32 + 20x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 5x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + 5x + x2)' equal to zero and attempt to solve: Simplifying 8 + 5x + x2 = 0 Solving 8 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x + x2 = 0 + -8 5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 5x + x2 = -8 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -8 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + 5x + x2 = -1.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -1.75 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.
| d+2=0 | | -2+d=-9 | | b+1=10 | | -6m=0 | | 5m=-25 | | 9+d=12 | | (3x-2)*5=(x+4)*2 | | 6+w=14 | | k/5=7 | | 17=m+9 | | n-9=-19 | | 1.15x+0.40(200-x)=1.25x | | -18=t-8 | | 7+a=4 | | k+9=10 | | 1=w-8 | | -16n=-64 | | 18=a+7 | | b+1=11 | | w/-5=-1 | | -13=a-6 | | (y+6)(y+6)=81 | | b+3=0 | | b+7=-1 | | 9+k=13 | | 6+t=18 | | k+6=15 | | d-3=7 | | 7d=70 | | -8-4(6-4p)=5(p-6)-27 | | t+1=11 | | 0=t-8 |