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Simplifying 25x2 + 35x + 110 = 0 Reorder the terms: 110 + 35x + 25x2 = 0 Solving 110 + 35x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(22 + 7x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(22 + 7x + 5x2)' equal to zero and attempt to solve: Simplifying 22 + 7x + 5x2 = 0 Solving 22 + 7x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.4 + 1.4x + x2 = 0 Move the constant term to the right: Add '-4.4' to each side of the equation. 4.4 + 1.4x + -4.4 + x2 = 0 + -4.4 Reorder the terms: 4.4 + -4.4 + 1.4x + x2 = 0 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + 1.4x + x2 = 0 + -4.4 1.4x + x2 = 0 + -4.4 Combine like terms: 0 + -4.4 = -4.4 1.4x + x2 = -4.4 The x term is 1.4x. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4x + 0.49 + x2 = -4.4 + 0.49 Reorder the terms: 0.49 + 1.4x + x2 = -4.4 + 0.49 Combine like terms: -4.4 + 0.49 = -3.91 0.49 + 1.4x + x2 = -3.91 Factor a perfect square on the left side: (x + 0.7)(x + 0.7) = -3.91 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.
| 55/8:33/4 | | https://ttm-content.s3.amazonaws.com/uploads/image/image/301092/G34L315Q22064S-1affa0d9458b24f4562416b559636d53.png | | Log(4x+7)-log(x-3)=1 | | X^2+x-552=0 | | (1+0.1)= | | 6xy=36 | | 0.525+y=x | | 8(x-7)=23 | | 100-2x=3x^2-12x+14 | | 4=x-13 | | 6-18=2v-6v | | 4x++4=-16 | | 80=1/R | | .25*x=19.5 | | -3=-2t | | 5u=4u+2 | | 7y-8=8y-9 | | 6(x-3)=-21 | | 19.5/x=.25 | | 25x-5y=2.6 | | X^2+y^2+6x-2y=-6 | | 8p-8=-4p+6 | | 3/5y=5 | | 9q-6q-2q-q-3q=3 | | 48=35-5c | | 5y+8=10 | | 19.5x=.25 | | 11(x+10)=28 | | (12p-8)+(6p+14p)= | | (3x-1)^2/5=2 | | A+b(x-c)=0 | | 19k+k-5k-14k=11 |
