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Simplifying (d + 2)(d + 6) + -1d(d + 3) = 37 Reorder the terms: (2 + d)(d + 6) + -1d(d + 3) = 37 Reorder the terms: (2 + d)(6 + d) + -1d(d + 3) = 37 Multiply (2 + d) * (6 + d) (2(6 + d) + d(6 + d)) + -1d(d + 3) = 37 ((6 * 2 + d * 2) + d(6 + d)) + -1d(d + 3) = 37 ((12 + 2d) + d(6 + d)) + -1d(d + 3) = 37 (12 + 2d + (6 * d + d * d)) + -1d(d + 3) = 37 (12 + 2d + (6d + d2)) + -1d(d + 3) = 37 Combine like terms: 2d + 6d = 8d (12 + 8d + d2) + -1d(d + 3) = 37 Reorder the terms: 12 + 8d + d2 + -1d(3 + d) = 37 12 + 8d + d2 + (3 * -1d + d * -1d) = 37 12 + 8d + d2 + (-3d + -1d2) = 37 Reorder the terms: 12 + 8d + -3d + d2 + -1d2 = 37 Combine like terms: 8d + -3d = 5d 12 + 5d + d2 + -1d2 = 37 Combine like terms: d2 + -1d2 = 0 12 + 5d + 0 = 37 12 + 5d = 37 Solving 12 + 5d = 37 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5d = 37 + -12 Combine like terms: 12 + -12 = 0 0 + 5d = 37 + -12 5d = 37 + -12 Combine like terms: 37 + -12 = 25 5d = 25 Divide each side by '5'. d = 5 Simplifying d = 5
| 3(8x-1)=6(5+4x) | | m^2-7m-12=0 | | g(x)=9x^4-8x^2+9x-5 | | 6p+15=p^2+8p+16 | | 6n+n=2 | | 6a+7a=-18 | | 7x-40= | | 4(x+3)=2x-8 | | 3x+4= | | 3x^2-5x-22= | | 0x+4= | | -18-6k=(1+3k) | | -x(-2)=x+2 | | 7x=55 | | t^2+7t+6=0 | | n(n+4)+28=(n-1)(n+8) | | 0=8x-4x^2 | | g(x)=8x-4x^2 | | 2(x+3)=7x-19 | | 18-2x-8=9x-6x | | -5r-7=2r+28 | | (3x-2)(3x-2)= | | 4x-12=16x | | 3x^2+12x=24 | | 5-3x=10+7x | | 8x+4-3x=9 | | 4n+6=38 | | -4x-7-8x= | | 8x+4-3=9 | | (3x+2)(2x-1)= | | (2x+4)(4x^2+8x+3)= | | -18=8x-9-5 |