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Simplifying (x + 1)(x + -2) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: (1 + x)(x + -2) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: (1 + x)(-2 + x) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) Multiply (1 + x) * (-2 + x) (1(-2 + x) + x(-2 + x)) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) ((-2 * 1 + x * 1) + x(-2 + x)) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) ((-2 + 1x) + x(-2 + x)) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) (-2 + 1x + (-2 * x + x * x)) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) (-2 + 1x + (-2x + x2)) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) Combine like terms: 1x + -2x = -1x (-2 + -1x + x2) + -1(4x + -1)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: -2 + -1x + x2 + -1(-1 + 4x)(3x + -5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: -2 + -1x + x2 + -1(-1 + 4x)(-5 + 3x) + -6 = 8x + -11(x + -3)(x + 7) Multiply (-1 + 4x) * (-5 + 3x) -2 + -1x + x2 + -1(-1(-5 + 3x) + 4x * (-5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1((-5 * -1 + 3x * -1) + 4x * (-5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1((5 + -3x) + 4x * (-5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1(5 + -3x + (-5 * 4x + 3x * 4x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1(5 + -3x + (-20x + 12x2)) + -6 = 8x + -11(x + -3)(x + 7) Combine like terms: -3x + -20x = -23x -2 + -1x + x2 + -1(5 + -23x + 12x2) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + (5 * -1 + -23x * -1 + 12x2 * -1) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + (-5 + 23x + -12x2) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: -2 + -5 + -6 + -1x + 23x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: -2 + -5 = -7 -7 + -6 + -1x + 23x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: -7 + -6 = -13 -13 + -1x + 23x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: -1x + 23x = 22x -13 + 22x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: x2 + -12x2 = -11x2 -13 + 22x + -11x2 = 8x + -11(x + -3)(x + 7) Reorder the terms: -13 + 22x + -11x2 = 8x + -11(-3 + x)(x + 7) Reorder the terms: -13 + 22x + -11x2 = 8x + -11(-3 + x)(7 + x) Multiply (-3 + x) * (7 + x) -13 + 22x + -11x2 = 8x + -11(-3(7 + x) + x(7 + x)) -13 + 22x + -11x2 = 8x + -11((7 * -3 + x * -3) + x(7 + x)) -13 + 22x + -11x2 = 8x + -11((-21 + -3x) + x(7 + x)) -13 + 22x + -11x2 = 8x + -11(-21 + -3x + (7 * x + x * x)) -13 + 22x + -11x2 = 8x + -11(-21 + -3x + (7x + x2)) Combine like terms: -3x + 7x = 4x -13 + 22x + -11x2 = 8x + -11(-21 + 4x + x2) -13 + 22x + -11x2 = 8x + (-21 * -11 + 4x * -11 + x2 * -11) -13 + 22x + -11x2 = 8x + (231 + -44x + -11x2) Reorder the terms: -13 + 22x + -11x2 = 231 + 8x + -44x + -11x2 Combine like terms: 8x + -44x = -36x -13 + 22x + -11x2 = 231 + -36x + -11x2 Add '11x2' to each side of the equation. -13 + 22x + -11x2 + 11x2 = 231 + -36x + -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -13 + 22x + 0 = 231 + -36x + -11x2 + 11x2 -13 + 22x = 231 + -36x + -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -13 + 22x = 231 + -36x + 0 -13 + 22x = 231 + -36x Solving -13 + 22x = 231 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -13 + 22x + 36x = 231 + -36x + 36x Combine like terms: 22x + 36x = 58x -13 + 58x = 231 + -36x + 36x Combine like terms: -36x + 36x = 0 -13 + 58x = 231 + 0 -13 + 58x = 231 Add '13' to each side of the equation. -13 + 13 + 58x = 231 + 13 Combine like terms: -13 + 13 = 0 0 + 58x = 231 + 13 58x = 231 + 13 Combine like terms: 231 + 13 = 244 58x = 244 Divide each side by '58'. x = 4.206896552 Simplifying x = 4.206896552
| 27=18t+21-16t | | -12x-4x= | | 4x+1.52x-1.52=0 | | abs(9x)=1 | | r/4.7=18/14.1 | | 8b^2+48b+72=0 | | 12x+7x=10560 | | 3(z-3)+5(z+4)=-1 | | 6x+1y=25 | | 3sinx=2cos^2-3 | | 531/72=m/88 | | 88=2m-50 | | -4x+4x-12= | | -19-5b=-9(7b-6) | | 107/s=749/714 | | 12x+54=5x+12 | | 4x+8=24x | | y+1=-10(x+5) | | 5/3=h/3.6 | | 0.7x+12.2=x-4.78 | | 13.2/20=c/10 | | 10timesx=3.2443 | | 12/33=n/88 | | 5ab+10ab= | | -5-8x= | | -6-3(1-8h)=-22 | | 87/435=j/5 | | 2x^2/3=4 | | 12/15.2=9/y | | 5.1q-1.8-5.2q=1.1q-4.6 | | 205/a=5/16 | | 4x-6+3x+2+x+12=360 |