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Simplifying (x + 1)(x + -2)(x + 1) = (x + -3)(x + 1)(x + 2) Reorder the terms: (1 + x)(x + -2)(x + 1) = (x + -3)(x + 1)(x + 2) Reorder the terms: (1 + x)(-2 + x)(x + 1) = (x + -3)(x + 1)(x + 2) Reorder the terms: (1 + x)(-2 + x)(1 + x) = (x + -3)(x + 1)(x + 2) Multiply (1 + x) * (-2 + x) (1(-2 + x) + x(-2 + x))(1 + x) = (x + -3)(x + 1)(x + 2) ((-2 * 1 + x * 1) + x(-2 + x))(1 + x) = (x + -3)(x + 1)(x + 2) ((-2 + 1x) + x(-2 + x))(1 + x) = (x + -3)(x + 1)(x + 2) (-2 + 1x + (-2 * x + x * x))(1 + x) = (x + -3)(x + 1)(x + 2) (-2 + 1x + (-2x + x2))(1 + x) = (x + -3)(x + 1)(x + 2) Combine like terms: 1x + -2x = -1x (-2 + -1x + x2)(1 + x) = (x + -3)(x + 1)(x + 2) Multiply (-2 + -1x + x2) * (1 + x) (-2(1 + x) + -1x * (1 + x) + x2(1 + x)) = (x + -3)(x + 1)(x + 2) ((1 * -2 + x * -2) + -1x * (1 + x) + x2(1 + x)) = (x + -3)(x + 1)(x + 2) ((-2 + -2x) + -1x * (1 + x) + x2(1 + x)) = (x + -3)(x + 1)(x + 2) (-2 + -2x + (1 * -1x + x * -1x) + x2(1 + x)) = (x + -3)(x + 1)(x + 2) (-2 + -2x + (-1x + -1x2) + x2(1 + x)) = (x + -3)(x + 1)(x + 2) (-2 + -2x + -1x + -1x2 + (1 * x2 + x * x2)) = (x + -3)(x + 1)(x + 2) (-2 + -2x + -1x + -1x2 + (1x2 + x3)) = (x + -3)(x + 1)(x + 2) Combine like terms: -2x + -1x = -3x (-2 + -3x + -1x2 + 1x2 + x3) = (x + -3)(x + 1)(x + 2) Combine like terms: -1x2 + 1x2 = 0 (-2 + -3x + 0 + x3) = (x + -3)(x + 1)(x + 2) (-2 + -3x + x3) = (x + -3)(x + 1)(x + 2) Reorder the terms: -2 + -3x + x3 = (-3 + x)(x + 1)(x + 2) Reorder the terms: -2 + -3x + x3 = (-3 + x)(1 + x)(x + 2) Reorder the terms: -2 + -3x + x3 = (-3 + x)(1 + x)(2 + x) Multiply (-3 + x) * (1 + x) -2 + -3x + x3 = (-3(1 + x) + x(1 + x))(2 + x) -2 + -3x + x3 = ((1 * -3 + x * -3) + x(1 + x))(2 + x) -2 + -3x + x3 = ((-3 + -3x) + x(1 + x))(2 + x) -2 + -3x + x3 = (-3 + -3x + (1 * x + x * x))(2 + x) -2 + -3x + x3 = (-3 + -3x + (1x + x2))(2 + x) Combine like terms: -3x + 1x = -2x -2 + -3x + x3 = (-3 + -2x + x2)(2 + x) Multiply (-3 + -2x + x2) * (2 + x) -2 + -3x + x3 = (-3(2 + x) + -2x * (2 + x) + x2(2 + x)) -2 + -3x + x3 = ((2 * -3 + x * -3) + -2x * (2 + x) + x2(2 + x)) -2 + -3x + x3 = ((-6 + -3x) + -2x * (2 + x) + x2(2 + x)) -2 + -3x + x3 = (-6 + -3x + (2 * -2x + x * -2x) + x2(2 + x)) -2 + -3x + x3 = (-6 + -3x + (-4x + -2x2) + x2(2 + x)) -2 + -3x + x3 = (-6 + -3x + -4x + -2x2 + (2 * x2 + x * x2)) -2 + -3x + x3 = (-6 + -3x + -4x + -2x2 + (2x2 + x3)) Combine like terms: -3x + -4x = -7x -2 + -3x + x3 = (-6 + -7x + -2x2 + 2x2 + x3) Combine like terms: -2x2 + 2x2 = 0 -2 + -3x + x3 = (-6 + -7x + 0 + x3) -2 + -3x + x3 = (-6 + -7x + x3) Add '-1x3' to each side of the equation. -2 + -3x + x3 + -1x3 = -6 + -7x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -2 + -3x + 0 = -6 + -7x + x3 + -1x3 -2 + -3x = -6 + -7x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -2 + -3x = -6 + -7x + 0 -2 + -3x = -6 + -7x Solving -2 + -3x = -6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + -3x + 7x = -6 + -7x + 7x Combine like terms: -3x + 7x = 4x -2 + 4x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 4x = -6 + 0 -2 + 4x = -6 Add '2' to each side of the equation. -2 + 2 + 4x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -6 + 2 4x = -6 + 2 Combine like terms: -6 + 2 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
| 4-5m=19 | | m/10=9/10 | | 2(x-3)-5(x+2)=14 | | 1/2(2t4=-8 | | r/9-4=-5 | | 15m^2-22mn+66mn^2=0 | | f(x)=ln(6-3x) | | 2x+20=48x | | 7x+2(4x-1)=73 | | 4m-9=19 | | -4.4s+-2=-5.5s+-4.2 | | -2/4=-3/4 | | 503/100-= | | 5(k-1)+3k=0 | | z=r+gh | | d/5=5 | | ?/1 | | 4r+7=-37 | | 4n+6.2=8.8m-1.8 | | -3x+8=-2(5+6x) | | 2(5x-4)-3=9 | | -0.08y+0.11(6000-y)=0.06y | | C+2c+3+4c=24 | | z-gh=r | | 5(r-5)+7r=12r-74 | | 18/3=1/ | | 5(r-5)+7r=12-74 | | 15=-3x+-9+9 | | f(300)=14-0.5x | | 1.3n+7.07=n+2.7 | | -8p+9=73 | | (-4c-36)(c-4)=0 |