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Simplifying 4(x + -1)(x + 5) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) Reorder the terms: 4(-1 + x)(x + 5) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) Reorder the terms: 4(-1 + x)(5 + x) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) Multiply (-1 + x) * (5 + x) 4(-1(5 + x) + x(5 + x)) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) 4((5 * -1 + x * -1) + x(5 + x)) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) 4((-5 + -1x) + x(5 + x)) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) 4(-5 + -1x + (5 * x + x * x)) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) 4(-5 + -1x + (5x + x2)) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) Combine like terms: -1x + 5x = 4x 4(-5 + 4x + x2) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) (-5 * 4 + 4x * 4 + x2 * 4) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) (-20 + 16x + 4x2) + -1(x + 2)(x + 5) = 3(x + -1)(x + 2) Reorder the terms: -20 + 16x + 4x2 + -1(2 + x)(x + 5) = 3(x + -1)(x + 2) Reorder the terms: -20 + 16x + 4x2 + -1(2 + x)(5 + x) = 3(x + -1)(x + 2) Multiply (2 + x) * (5 + x) -20 + 16x + 4x2 + -1(2(5 + x) + x(5 + x)) = 3(x + -1)(x + 2) -20 + 16x + 4x2 + -1((5 * 2 + x * 2) + x(5 + x)) = 3(x + -1)(x + 2) -20 + 16x + 4x2 + -1((10 + 2x) + x(5 + x)) = 3(x + -1)(x + 2) -20 + 16x + 4x2 + -1(10 + 2x + (5 * x + x * x)) = 3(x + -1)(x + 2) -20 + 16x + 4x2 + -1(10 + 2x + (5x + x2)) = 3(x + -1)(x + 2) Combine like terms: 2x + 5x = 7x -20 + 16x + 4x2 + -1(10 + 7x + x2) = 3(x + -1)(x + 2) -20 + 16x + 4x2 + (10 * -1 + 7x * -1 + x2 * -1) = 3(x + -1)(x + 2) -20 + 16x + 4x2 + (-10 + -7x + -1x2) = 3(x + -1)(x + 2) Reorder the terms: -20 + -10 + 16x + -7x + 4x2 + -1x2 = 3(x + -1)(x + 2) Combine like terms: -20 + -10 = -30 -30 + 16x + -7x + 4x2 + -1x2 = 3(x + -1)(x + 2) Combine like terms: 16x + -7x = 9x -30 + 9x + 4x2 + -1x2 = 3(x + -1)(x + 2) Combine like terms: 4x2 + -1x2 = 3x2 -30 + 9x + 3x2 = 3(x + -1)(x + 2) Reorder the terms: -30 + 9x + 3x2 = 3(-1 + x)(x + 2) Reorder the terms: -30 + 9x + 3x2 = 3(-1 + x)(2 + x) Multiply (-1 + x) * (2 + x) -30 + 9x + 3x2 = 3(-1(2 + x) + x(2 + x)) -30 + 9x + 3x2 = 3((2 * -1 + x * -1) + x(2 + x)) -30 + 9x + 3x2 = 3((-2 + -1x) + x(2 + x)) -30 + 9x + 3x2 = 3(-2 + -1x + (2 * x + x * x)) -30 + 9x + 3x2 = 3(-2 + -1x + (2x + x2)) Combine like terms: -1x + 2x = 1x -30 + 9x + 3x2 = 3(-2 + 1x + x2) -30 + 9x + 3x2 = (-2 * 3 + 1x * 3 + x2 * 3) -30 + 9x + 3x2 = (-6 + 3x + 3x2) Add '-3x2' to each side of the equation. -30 + 9x + 3x2 + -3x2 = -6 + 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -30 + 9x + 0 = -6 + 3x + 3x2 + -3x2 -30 + 9x = -6 + 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -30 + 9x = -6 + 3x + 0 -30 + 9x = -6 + 3x Solving -30 + 9x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 9x + -3x = -6 + 3x + -3x Combine like terms: 9x + -3x = 6x -30 + 6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 6x = -6 + 0 -30 + 6x = -6 Add '30' to each side of the equation. -30 + 30 + 6x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = -6 + 30 6x = -6 + 30 Combine like terms: -6 + 30 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
| 8x+11-2x=9+6x+2 | | 2(3x-2)=12 | | (7+8i)-(7-4i)= | | 3y+7=6y-8 | | 13.22+0.08(x+3)=13.72-0.07x | | 3(x-7)=x+9 | | x^4+17x^2+35=0 | | X-1.13=2x-4.004 | | -(y+5)-3=6(y+3)-3y | | 3(15-7)/2x2 | | 2(x-4)=x-3 | | 3t-15+t=-5t+4 | | (3-6i)+(6+10i)= | | 12x+5x-2=49 | | (2x+1)2-8(2x+1)+15=0 | | 9x+2+5x+34=180 | | 5x-8.9=6.4 | | X=2y+100 | | (a+9)+5bi=9-3i | | 9-8x=21 | | -2/6(1/2b-1/8) | | (x)-(13)=7 | | 3.4x-1=2.4x | | an=19-4n | | 4.3+4=3.3x | | 5y+6=2y+18 | | 3(9/4-3/2) | | x+(x*4)=12738 | | C=2x+180 | | -4y=2x+4 | | F(x)=tgx/x | | 2x+12=-2x-(-8) |