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Simplifying (1 + -1d)(d + -1) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Reorder the terms: (1 + -1d)(-1 + d) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Multiply (1 + -1d) * (-1 + d) (1(-1 + d) + -1d * (-1 + d)) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) ((-1 * 1 + d * 1) + -1d * (-1 + d)) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) ((-1 + 1d) + -1d * (-1 + d)) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) (-1 + 1d + (-1 * -1d + d * -1d)) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) (-1 + 1d + (1d + -1d2)) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: 1d + 1d = 2d (-1 + 2d + -1d2) + d(1 + d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) -1 + 2d + -1d2 + (1 * d + d * d) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) -1 + 2d + -1d2 + (1d + d2) + -3(1 + -1d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) -1 + 2d + -1d2 + 1d + d2 + (1 * -3 + -1d * -3) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) -1 + 2d + -1d2 + 1d + d2 + (-3 + 3d) + 5(d + -1) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Reorder the terms: -1 + 2d + -1d2 + 1d + d2 + -3 + 3d + 5(-1 + d) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) -1 + 2d + -1d2 + 1d + d2 + -3 + 3d + (-1 * 5 + d * 5) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) -1 + 2d + -1d2 + 1d + d2 + -3 + 3d + (-5 + 5d) = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Reorder the terms: -1 + -3 + -5 + 2d + 1d + 3d + 5d + -1d2 + d2 = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: -1 + -3 = -4 -4 + -5 + 2d + 1d + 3d + 5d + -1d2 + d2 = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: -4 + -5 = -9 -9 + 2d + 1d + 3d + 5d + -1d2 + d2 = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: 2d + 1d = 3d -9 + 3d + 3d + 5d + -1d2 + d2 = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: 3d + 3d = 6d -9 + 6d + 5d + -1d2 + d2 = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: 6d + 5d = 11d -9 + 11d + -1d2 + d2 = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: -1d2 + d2 = 0 -9 + 11d + 0 = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) -9 + 11d = (d + 1)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Reorder the terms: -9 + 11d = (1 + d)(d + 2) + -2(1 + d)(2 + d) + d(d + -1) Reorder the terms: -9 + 11d = (1 + d)(2 + d) + -2(1 + d)(2 + d) + d(d + -1) Multiply (1 + d) * (2 + d) -9 + 11d = (1(2 + d) + d(2 + d)) + -2(1 + d)(2 + d) + d(d + -1) -9 + 11d = ((2 * 1 + d * 1) + d(2 + d)) + -2(1 + d)(2 + d) + d(d + -1) -9 + 11d = ((2 + 1d) + d(2 + d)) + -2(1 + d)(2 + d) + d(d + -1) -9 + 11d = (2 + 1d + (2 * d + d * d)) + -2(1 + d)(2 + d) + d(d + -1) -9 + 11d = (2 + 1d + (2d + d2)) + -2(1 + d)(2 + d) + d(d + -1) Combine like terms: 1d + 2d = 3d -9 + 11d = (2 + 3d + d2) + -2(1 + d)(2 + d) + d(d + -1) Multiply (1 + d) * (2 + d) -9 + 11d = 2 + 3d + d2 + -2(1(2 + d) + d(2 + d)) + d(d + -1) -9 + 11d = 2 + 3d + d2 + -2((2 * 1 + d * 1) + d(2 + d)) + d(d + -1) -9 + 11d = 2 + 3d + d2 + -2((2 + 1d) + d(2 + d)) + d(d + -1) -9 + 11d = 2 + 3d + d2 + -2(2 + 1d + (2 * d + d * d)) + d(d + -1) -9 + 11d = 2 + 3d + d2 + -2(2 + 1d + (2d + d2)) + d(d + -1) Combine like terms: 1d + 2d = 3d -9 + 11d = 2 + 3d + d2 + -2(2 + 3d + d2) + d(d + -1) -9 + 11d = 2 + 3d + d2 + (2 * -2 + 3d * -2 + d2 * -2) + d(d + -1) -9 + 11d = 2 + 3d + d2 + (-4 + -6d + -2d2) + d(d + -1) Reorder the terms: -9 + 11d = 2 + 3d + d2 + -4 + -6d + -2d2 + d(-1 + d) -9 + 11d = 2 + 3d + d2 + -4 + -6d + -2d2 + (-1 * d + d * d) -9 + 11d = 2 + 3d + d2 + -4 + -6d + -2d2 + (-1d + d2) Reorder the terms: -9 + 11d = 2 + -4 + 3d + -6d + -1d + d2 + -2d2 + d2 Combine like terms: 2 + -4 = -2 -9 + 11d = -2 + 3d + -6d + -1d + d2 + -2d2 + d2 Combine like terms: 3d + -6d = -3d -9 + 11d = -2 + -3d + -1d + d2 + -2d2 + d2 Combine like terms: -3d + -1d = -4d -9 + 11d = -2 + -4d + d2 + -2d2 + d2 Combine like terms: d2 + -2d2 = -1d2 -9 + 11d = -2 + -4d + -1d2 + d2 Combine like terms: -1d2 + d2 = 0 -9 + 11d = -2 + -4d + 0 -9 + 11d = -2 + -4d Solving -9 + 11d = -2 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -9 + 11d + 4d = -2 + -4d + 4d Combine like terms: 11d + 4d = 15d -9 + 15d = -2 + -4d + 4d Combine like terms: -4d + 4d = 0 -9 + 15d = -2 + 0 -9 + 15d = -2 Add '9' to each side of the equation. -9 + 9 + 15d = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 15d = -2 + 9 15d = -2 + 9 Combine like terms: -2 + 9 = 7 15d = 7 Divide each side by '15'. d = 0.4666666667 Simplifying d = 0.4666666667
| 12m(m+2)=5m-4 | | (1-d)(d-1)+d(1+d)-3(1-d)+5(d-1)=(d+1)(d+2)-2(1+d)(2+d)-2d(d-1) | | 7=g+11 | | 2x-cosx=0 | | -3k+4=-5k+40 | | (1x-9)(x+8)=0 | | 36m^2-729=0 | | 2(7h-2)=66 | | (1-d)(d-1)+d(1+d)-3(1-d)+5(d-1)=(d+1)(d+2)-2(1+d)(2+d)-d(d-1) | | exp(x*sqrt(0.55-x^2-x))+x^2+sqrt(0.55-x^2-x)-1.2=0 | | (7t-1)(8t+5)= | | f(x)3x-7= | | x+(-68)=60 | | -2(6f-62)=28 | | 6(3x+1)-30=(2a-4) | | M+(2m+8)=62 | | 7j+12=11j | | 1/2(2g+4)=12 | | -3(5s-6)-18=-2(9s+1)-3 | | 10(2e+15)=-5(2e-6) | | -.25(4v-8)=0.5(4-2v) | | 6a+(12+4a)= | | m(1-m)+3(5-m)-2(3-m)=-m(m-3)+3m-5(1-m) | | 24x+4=-32 | | -6d-13=-7d+2 | | 2(c+4)=3c+29 | | 2t(4-t)+3(5-t)=2(t+1)-2t(t-6)+(3t-1)(1-t)-3t^2 | | 21+3b=2b+12 | | 7(1+3f)= | | 2t(4-t)+3(5-t)=2(t+1)+2t(t-6)+(3t-1)(1-t)-3t^2 | | 2a+11=5a-10 | | 4+15=15 |